I decided to retire, sell our stix n brix home in NorCal and go full time. We also decided to buy a newer, bigger motor home to full time in. Six months before my retirement, we began transferring our residency to South Dakota.
First stop was enrolling with Americas Mailbox. (there's others of course) This meant transferring our bank accounts, voter registration everything we could, we transferred to SD. We love the internet and since you're going full time, you'll be doing all your banking, bill paying etc on line.
My advice is to determine which state you want to declare as your resident state. You mentioned Florida. If that's your choice pick a mail forwarding service and begin transferring all your financial, medical and business to that state. This will establish your intent. Change your voter registration also. Then you can start on your registration and driver's licenses.good luck...Dennis