Do houses ever get damaged while being moved or raised?
With most drywalled houses, you may experience a few stress cracks in the drywall, especially over doorways (but no more than you will see in an average new house that settles). Lath and plaster houses will likely show more. The new foundation that you or your contractor construct will not be exactly the same as the original and the house will slowly settle accordingly. The remedial work is minimal, but you may have to adjust some doors.