In my opinion, you have two options.
Option 1: Migrate the PI Server as you normally would. Re-point all of the old interfaces to the new servers maintaining the old naming convention. THEN, once all that is done, use PI Builder functionality to rename the tags to the new naming convention that you want. This will retain the same point IDs.
Option 2: Create the new PI Server with new tag names. Those new tag names will likely have different point IDs. Then you may need to use a binary conversion file described in KB 2785OSI8 to map the new tags to the old point IDs.