When I moved back here in 94 I changed to a SC drivers license right away but left the Ohio plates. I got stopped in Camden for speeding.....actually picked out of a line because of my plates......grrrrrr........and they tacked on that I hadn't changed the car over within 30 days of my new license!!
Keep your Fla license till you're ready to do it all....Specially if you are moving near any military post........they won't even look twice.
Good Luck