Yes. The refund will be issued to the name of the state. You need to surrender the vehicle plates at DMV office and request a transfer receipt, not a refund receipt.
Okay, that's it. Do I need to contact you or a motor vehicle department in another state for registration?
You must contact the motor vehicle agency in the other state to determine if their laws require that you register your vehicles there. The definition of "resident" is different in each state.
Is it also possible to do it by mail?