ONE size fitting them all.. I know right, no such thing..
But as in your question "Moving PC and User to Azure" the answer is USMTGUI.
With USMTGUI any supporter can easily migrate (backup/restore) user profiles.
You can backup local, Domain and AAD profiles and restore them to and local, Domain and AAD users
We also use UPC from EhlerTech. UPC handles migrations of Domain user profiles over the network
We use UPC primarily to collect a users profile just before the user is handed his new PC.
Install the new PC, collect the users profile from his currrent PC and add it to the new PC, PRIOR to him picking it up.
We save a tonne of configuration time