diff --git a/docs/data/migration/migration-data-grid-v6/migration-data-grid-v6.md b/docs/data/migration/migration-data-grid-v6/migration-data-grid-v6.md
index 97ffd3fb77f2..3f5baec4ce73 100644
--- a/docs/data/migration/migration-data-grid-v6/migration-data-grid-v6.md
+++ b/docs/data/migration/migration-data-grid-v6/migration-data-grid-v6.md
@@ -40,7 +40,7 @@ npx @mui/x-codemod@next v7.0.0/preset-safe <path>
 ```
 
 :::info
-If you want to run the codemods one by one, check out the codemods included in the [preset-safe codemod for data grid](https://github.com/mui/mui-x/blob/master/packages/x-codemod/README.md#preset-safe-for-data-grid-v700) for more details.
+If you want to run the codemods one by one, check out the codemods included in the [preset-safe codemod for data grid](https://github.com/mui/mui-x/blob/HEAD/packages/x-codemod/README.md#preset-safe-for-data-grid-v700) for more details.
 :::
 
 Breaking changes that are handled by `preset-safe` codemod are denoted by a ✅ emoji in the table of contents on the right side of the screen or next to the specific point that is handled by it.
diff --git a/docs/data/migration/migration-pickers-v5/migration-pickers-v5.md b/docs/data/migration/migration-pickers-v5/migration-pickers-v5.md
index 5653e19345b7..df0dc58354cc 100644
--- a/docs/data/migration/migration-pickers-v5/migration-pickers-v5.md
+++ b/docs/data/migration/migration-pickers-v5/migration-pickers-v5.md
@@ -37,7 +37,7 @@ npx @mui/x-codemod@latest v6.0.0/preset-safe <path>
 ```
 
 :::info
-If you want to run the transformers one by one, check out the transformers included in the [preset-safe codemod for pickers](https://github.com/mui/mui-x/blob/master/packages/x-codemod/README.md#preset-safe-for-pickers-v600) for more details.
+If you want to run the transformers one by one, check out the transformers included in the [preset-safe codemod for pickers](https://github.com/mui/mui-x/blob/HEAD/packages/x-codemod/README.md#preset-safe-for-pickers-v600) for more details.
 :::
 
 Breaking changes that are handled by this codemod are denoted by a ✅ emoji in the table of contents on the right side of the screen.
diff --git a/docs/data/migration/migration-pickers-v6/migration-pickers-v6.md b/docs/data/migration/migration-pickers-v6/migration-pickers-v6.md
index 0e3990592bfa..fb582678ec04 100644
--- a/docs/data/migration/migration-pickers-v6/migration-pickers-v6.md
+++ b/docs/data/migration/migration-pickers-v6/migration-pickers-v6.md
@@ -33,14 +33,14 @@ You can either run it on a specific file, folder, or your entire codebase when c
 
 ```bash
 // Date and Time Pickers specific
-npx @mui/x-codemod v7.0.0/pickers/preset-safe <path>
+npx @mui/x-codemod@next v7.0.0/pickers/preset-safe <path>
 
 // Target Data Grid as well
-npx @mui/x-codemod v7.0.0/preset-safe <path>
+npx @mui/x-codemod@next v7.0.0/preset-safe <path>
 ```
 
 :::info
-If you want to run the transformers one by one, check out the transformers included in the [preset-safe codemod for pickers](https://github.com/mui/mui-x/blob/master/packages/x-codemod/README.md#preset-safe-for-pickers-v700) for more details.
+If you want to run the transformers one by one, check out the transformers included in the [preset-safe codemod for pickers](https://github.com/mui/mui-x/blob/HEAD/packages/x-codemod/README.md#preset-safe-for-pickers-v700) for more details.
 :::
 
 Breaking changes that are handled by this codemod are denoted by a ✅ emoji in the table of contents on the right side of the screen.
@@ -75,7 +75,7 @@ And are removed from the v7.
 If not already done, this modification can be handled by the codemod
 
 ```bash
-npx @mui/x-codemod v7.0.0/pickers/ <path>
+npx @mui/x-codemod@next v7.0.0/pickers/ <path>
 ```
 
 Take a look at [the RFC](https://github.com/mui/material-ui/issues/33416) for more information.
diff --git a/packages/x-codemod/README.md b/packages/x-codemod/README.md
index 9b493db52b85..e98cc3cb6c84 100644
--- a/packages/x-codemod/README.md
+++ b/packages/x-codemod/README.md
@@ -29,8 +29,8 @@ Options:
   --jscodeshift Pass options directly to jscodeshift                  [array]
 
 Examples:
-  npx @mui/x-codemod v6.0.0/preset-safe src
-  npx @mui/x-codemod v6.0.0/component-rename-prop src --
+  npx @mui/x-codemod@latest v6.0.0/preset-safe src
+  npx @mui/x-codemod@latest v6.0.0/component-rename-prop src --
   --component=DataGrid --from=prop --to=newProp
 ```
 
@@ -40,9 +40,9 @@ To pass more options directly to jscodeshift, use `--jscodeshift=...`. For examp
 
 ```bash
 // single option
-npx @mui/x-codemod --jscodeshift=--run-in-band
+npx @mui/x-codemod@next --jscodeshift=--run-in-band
 // multiple options
-npx @mui/x-codemod --jscodeshift=--cpus=1 --jscodeshift=--print --jscodeshift=--dry --jscodeshift=--verbose=2
+npx @mui/x-codemod@next --jscodeshift=--cpus=1 --jscodeshift=--print --jscodeshift=--dry --jscodeshift=--verbose=2
 ```
 
 See all available options [here](https://github.com/facebook/jscodeshift#usage-cli).
@@ -53,7 +53,7 @@ Options to [recast](https://github.com/benjamn/recast)'s printer can be provided
 through jscodeshift's `printOptions` command line argument
 
 ```bash
-npx @mui/x-codemod <transform> <path> --jscodeshift="--printOptions='{\"quote\":\"double\"}'"
+npx @mui/x-codemod@next <transform> <path> --jscodeshift="--printOptions='{\"quote\":\"double\"}'"
 ```
 
 ## v7.0.0
@@ -66,7 +66,7 @@ It runs codemods for both Data Grid and Date and Time Pickers packages.
 To run codemods for a specific package, refer to the respective section.
 
 ```bash
-npx @mui/x-codemod v7.0.0/preset-safe <path|folder>
+npx @mui/x-codemod@next v7.0.0/preset-safe <path|folder>
 ```
 
 The corresponding sub-sections are listed below
@@ -82,7 +82,7 @@ The corresponding sub-sections are listed below
 The `preset-safe` codemods for pickers.
 
 ```bash
-npx @mui/x-codemod v7.0.0/pickers/preset-safe <path|folder>
+npx @mui/x-codemod@next v7.0.0/pickers/preset-safe <path|folder>
 ```
 
 The list includes these transformers
@@ -108,7 +108,7 @@ This change only affects Date and Time Picker components.
 ```
 
 ```bash
-npx @mui/x-codemod v7.0.0/pickers/rename-components-to-slots <path>
+npx @mui/x-codemod@next v7.0.0/pickers/rename-components-to-slots <path>
 ```
 
 #### `rename-default-calendar-month-to-reference-date`
@@ -116,12 +116,12 @@ npx @mui/x-codemod v7.0.0/pickers/rename-components-to-slots <path>
 Replace the `defaultCalendarMonth` prop with the `referenceDate` prop.
 
 ```diff
-- <DateCalendar defaultCalendarMonth={dayjs('2022-04-01')};
-+ <DateCalendar referenceDate{dayjs('2022-04-01')} />
+-<DateCalendar defaultCalendarMonth={dayjs('2022-04-01')};
++<DateCalendar referenceDate{dayjs('2022-04-01')} />
 ```
 
 ```bash
-npx @mui/x-codemod v7.0.0/pickers/rename-default-calendar-month-to-reference-date <path>
+npx @mui/x-codemod@next v7.0.0/pickers/rename-default-calendar-month-to-reference-date <path>
 ```
 
 #### `rename-day-picker-classes`
@@ -129,12 +129,12 @@ npx @mui/x-codemod v7.0.0/pickers/rename-default-calendar-month-to-reference-dat
 Rename the `dayPickerClasses` variable to `dayCalendarClasses`.
 
 ```diff
-- import { dayPickerClasses } from '@mui/x-date-pickers/DateCalendar';
-+ import { dayCalendarClasses } from '@mui/x-date-pickers/DateCalendar';
+-import { dayPickerClasses } from '@mui/x-date-pickers/DateCalendar';
++import { dayCalendarClasses } from '@mui/x-date-pickers/DateCalendar';
 ```
 
 ```bash
-npx @mui/x-codemod v7.0.0/pickers/rename-day-picker-classes <path>
+npx @mui/x-codemod@next v7.0.0/pickers/rename-day-picker-classes <path>
 ```
 
 #### `rename-slots-types`
@@ -149,7 +149,7 @@ Replace types suffix `SlotsComponent` by `Slots` and `SlotsComponentsProps` by `
 ```
 
 ```bash
-npx @mui/x-codemod v7.0.0/pickers/rename-slots-types <path>
+npx @mui/x-codemod@next v7.0.0/pickers/rename-slots-types <path>
 ```
 
 ### Data Grid codemods
@@ -159,7 +159,7 @@ npx @mui/x-codemod v7.0.0/pickers/rename-slots-types <path>
 The `preset-safe` codemods for data grid.
 
 ```bash
-npx @mui/x-codemod v7.0.0/data-grid/preset-safe <path|folder>
+npx @mui/x-codemod@next v7.0.0/data-grid/preset-safe <path|folder>
 ```
 
 The list includes these transformers
@@ -176,14 +176,14 @@ This change only affects Data Grid components.
 ```diff
  <DataGrid
 -  components={{ Toolbar: CustomToolbar }}
-+  slots={{ toolbar: CustomToolbar }}
 -  componentsProps={{ toolbar: { showQuickFilter: true }}}
++  slots={{ toolbar: CustomToolbar }}
 +  slotProps={{ toolbar: { showQuickFilter: true }}}
  />;
 ```
 
 ```bash
-npx @mui/x-codemod v7.0.0/data-grid/rename-components-to-slots <path>
+npx @mui/x-codemod@next v7.0.0/data-grid/rename-components-to-slots <path>
 ```
 
 #### `rename-cell-selection-props`
@@ -193,16 +193,16 @@ Rename props related to `cellSelection` feature.
 ```diff
  <DataGridPremium
 -  unstable_cellSelection
+-  unstable_cellSelectionModel={{ 0: { id: true, currencyPair: true, price1M: false } }}
+-  unstable_onCellSelectionModelChange={() => {}}
 +  cellSelection
--  cellSelectionModel={{ 0: { id: true, currencyPair: true, price1M: false } }}
 +  cellSelectionModel={{ 0: { id: true, currencyPair: true, price1M: false } }}
--  unstable_onCellSelectionModelChange={() => {}}
 +  onCellSelectionModelChange={() => {}}
  />;
 ```
 
 ```bash
-npx @mui/x-codemod v7.0.0/data-grid/rename-cell-selection-props <path>
+npx @mui/x-codemod@next v7.0.0/data-grid/rename-cell-selection-props <path>
 ```
 
 ### Tree View codemods
@@ -212,7 +212,7 @@ npx @mui/x-codemod v7.0.0/data-grid/rename-cell-selection-props <path>
 The `preset-safe` codemods for tree view.
 
 ```bash
-npx @mui/x-codemod v7.0.0/tree-view/preset-safe <path|folder>
+npx @mui/x-codemod@next v7.0.0/tree-view/preset-safe <path|folder>
 ```
 
 The list includes these transformers
@@ -246,16 +246,16 @@ Renames the `TreeView` component to `SimpleTreeView`
 Rename the expansion props
 
 ```diff
-  <TreeView
--   onNodeToggle={handleExpansionChange}
-+   onExpandedNodesChange={handleExpansionChange}
+ <TreeView
+-  onNodeToggle={handleExpansionChange}
++  onExpandedNodesChange={handleExpansionChange}
 
--   expanded={expandedNodes}
-+   expandedNodes={expandedNodes}
+-  expanded={expandedNodes}
++  expandedNodes={expandedNodes}
 
--   defaultExpanded={defaultExpandedNodes}
-+   defaultExpandedNodes={defaultExpandedNodes}
-  />
+-  defaultExpanded={defaultExpandedNodes}
++  defaultExpandedNodes={defaultExpandedNodes}
+ />
 ```
 
 #### `rename-selection-props`
@@ -263,16 +263,16 @@ Rename the expansion props
 Rename the selection props
 
 ```diff
-  <TreeView
--   onNodeSelect={handleSelectionChange}
-+   onSelectedNodesChange={handleSelectionChange}
+ <TreeView
+-  onNodeSelect={handleSelectionChange}
++  onSelectedNodesChange={handleSelectionChange}
 
--   selected={selectedNodes}
-+   selectedNodes={selectedNodes}
+-  selected={selectedNodes}
++  selectedNodes={selectedNodes}
 
--   defaultSelected={defaultSelectedNodes}
-+   defaultSelectedNodes={defaultSelectedNodes}
-  />
+-  defaultSelected={defaultSelectedNodes}
++  defaultSelectedNodes={defaultSelectedNodes}
+ />
 ```
 
 ## v6.0.0
@@ -285,7 +285,7 @@ It runs codemods for both Data Grid and Date and Time Pickers packages.
 To run codemods for a specific package, refer to the respective section.
 
 ```bash
-npx @mui/x-codemod v6.0.0/preset-safe <path|folder>
+npx @mui/x-codemod@latest v6.0.0/preset-safe <path|folder>
 ```
 
 The corresponding sub-sections are listed below
@@ -300,7 +300,7 @@ The corresponding sub-sections are listed below
 The `preset-safe` codemods for pickers.
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/preset-safe <path|folder>
+npx @mui/x-codemod@latest v6.0.0/pickers/preset-safe <path|folder>
 ```
 
 The list includes these transformers
@@ -385,7 +385,7 @@ Renames the `locale` prop of the `LocalizationProvider` component into `adapterL
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/localization-provider-rename-locale <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/localization-provider-rename-locale <path>
 ```
 
 #### `text-props-to-localeText`
@@ -402,7 +402,7 @@ Replace props used for localization such as `cancelText` to their corresponding
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/text-props-to-localeText <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/text-props-to-localeText <path>
 ```
 
 If you were always using the same text value in all your components, consider moving those translation from the component to the `LocalizationProvider` by hand.
@@ -443,7 +443,7 @@ Replace props used for `Tabs` in DateTime pickers by `componentsProps.tabs` prop
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/replace-tabs-props <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/replace-tabs-props <path>
 ```
 
 #### `replace-toolbar-props-by-slot`
@@ -469,7 +469,7 @@ Replace props used to customize the `Toolbar` in pickers by slots properties and
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/replace-toolbar-props-by-slot <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/replace-toolbar-props-by-slot <path>
 ```
 
 #### `migrate-to-components-componentsProps`
@@ -519,7 +519,7 @@ Replace customization props by their equivalent `components` and `componentsProp
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/migrate-to-components-componentsProps <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/migrate-to-components-componentsProps <path>
 ```
 
 #### `replace-arrows-button-slot`
@@ -545,7 +545,7 @@ Replace `LeftArrowButton` and `RightArrowButton` slots for navigation buttons by
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/replace-arrows-button-slot <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/replace-arrows-button-slot <path>
 ```
 
 #### `rename-should-disable-time`
@@ -560,7 +560,7 @@ Replace `shouldDisableTime` by `shouldDisableClock`.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/rename-should-disable-time <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/rename-should-disable-time <path>
 ```
 
 #### `rename-inputFormat-prop`
@@ -575,7 +575,7 @@ Replace `inputFormat` prop with `format`.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/rename-inputFormat-prop <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/rename-inputFormat-prop <path>
 ```
 
 #### `rename-default-toolbar-title-localeText`
@@ -598,7 +598,7 @@ Rename toolbar related translation keys, removing `Default` part from them to be
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/rename-default-toolbar-title-localeText <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/rename-default-toolbar-title-localeText <path>
 ```
 
 #### `rename-components-to-slots-pickers`
@@ -617,7 +617,7 @@ This change only affects Date and Time Pickers components.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/pickers/rename-components-to-slots <path>
+npx @mui/x-codemod@latest v6.0.0/pickers/rename-components-to-slots <path>
 ```
 
 ### Data Grid codemods
@@ -627,7 +627,7 @@ npx @mui/x-codemod v6.0.0/pickers/rename-components-to-slots <path>
 The `preset-safe` codemods for data grid.
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/preset-safe <path|folder>
+npx @mui/x-codemod@latest v6.0.0/data-grid/preset-safe <path|folder>
 ```
 
 The list includes these transformers
@@ -662,7 +662,7 @@ Replace column menu items that have been renamed.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/column-menu-components-rename <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/column-menu-components-rename <path>
 ```
 
 If you are using `GridRowGroupingColumnMenuItems` and `GridRowGroupableColumnMenuItems` for grouping, consider fixing them manually as these imports are replaced by `GridColumnMenuGroupingItem` and may require some extra work to port.
@@ -689,7 +689,7 @@ Data Grid props that have been renamed.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/row-selection-props-rename <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/row-selection-props-rename <path>
 ```
 
 #### `rename-rowsPerPageOptions-prop`
@@ -704,7 +704,7 @@ Rename `rowsPerPageOptions` prop to `pageSizeOptions`.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/rename-rowsPerPageOptions-prop <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/rename-rowsPerPageOptions-prop <path>
 ```
 
 #### `remove-disableExtendRowFullWidth-prop`
@@ -718,7 +718,7 @@ Remove `disableExtendRowFullWidth` prop which is no longer supported.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/remove-disableExtendRowFullWidth-prop <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/remove-disableExtendRowFullWidth-prop <path>
 ```
 
 #### `rename-linkOperators-logicOperators`
@@ -773,7 +773,7 @@ Rename `linkOperators` related props to `logicOperators` and rename classes.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/rename-linkOperators-logicOperators <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/rename-linkOperators-logicOperators <path>
 ```
 
 #### `rename-filter-item-props`
@@ -814,7 +814,7 @@ Rename filter item props to the new values.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/rename-filter-item-props <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/rename-filter-item-props <path>
 ```
 
 #### `rename-selectors-and-events`
@@ -853,7 +853,7 @@ Rename selectors and events.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/rename-selectors-and-events <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/rename-selectors-and-events <path>
 ```
 
 #### `remove-stabilized-experimentalFeatures`
@@ -878,7 +878,7 @@ Remove feature flags for stabilized `experimentalFeatures`.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/remove-stabilized-experimentalFeatures <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/remove-stabilized-experimentalFeatures <path>
 ```
 
 #### `replace-onCellFocusOut-prop`
@@ -897,7 +897,7 @@ Replace `onCellFocusOut` prop with `componentsProps.cell.onBlur`.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/replace-onCellFocusOut-prop <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/replace-onCellFocusOut-prop <path>
 ```
 
 #### `rename-components-to-slots-data-grid`
@@ -916,7 +916,7 @@ This change only affects Data Grid components.
 ```
 
 ```bash
-npx @mui/x-codemod v6.0.0/data-grid/rename-components-to-slots <path>
+npx @mui/x-codemod@latest v6.0.0/data-grid/rename-components-to-slots <path>
 ```
 
 You can find more details about Data Grid breaking change in [the migration guide](https://mui.com/x/migration/migration-data-grid-v5/).