[pickers] Introduce a new concept of manager

[flaviendelangle]

Part of #15395

You can look at #15505 to see the benefit of this approach in a concrete use case.

In this PR

• Create the interfaces for the new manager
• Create the hooks to create all the managers (date, time, date time, date range, time range and date time range)

Todo after this PR

• Stop duplicating logic in the multi input range field ([pickers] POC: Use the new managers for the multi input range fields #15505)
• Rework useField to only have two parameters (manager and props)
• Move the application of the default props inside useField instead of inside useDateField & co
• Extend the new manager to work with the picker (the exact needs are unclear for now, we should be able to move the application of default props inside it like for the field)
• Stop using useDateField & co in DateField & co and instead directly use the manager

[mui-bot]

Deploy preview: https://deploy-preview-15339--material-ui-x.netlify.app/

Generated by 🚫 dangerJS against ca36470

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