Don't.
If you think there's lots of redtape in the UK, just wait until you try to do anything in the usa.
Oh yes, I've just moved to the USA and although we may think that the UK has got it sorted, yanks have taken bureaucracy too a whole new level...i.e bigger and better.
All of the following is for Ca, Fl rules will be different but I would expect variations on a theme....
Here in Ca its 30 days to get your car registered from outside...it also needs a 'smog' test, Fl may have something similar don't know. Not to put too fine a point on it, getting a US spec car that was already sitting on the forecourt registered involved a whole lot of paperwork...cant imagine an import being easier!
Insurance is a real headache, although it is possible to get UK driving history taken into account its not the easiest of nuts to crack and in Ca needed to come from the DVLA rather than just your insurance company. Is was also a bit more awkward without a US license (some companies refused to insure for your own car full stop). Even US citizens out of state need to take a Ca written test within 30 days. Not sure what Fl do but, again, would expect something similar.
I would give a few companies a quick call see what they say, you will need to have an idea of what level of insurance (3rd part coverage, medical etc) you want (as in $ cover for each area ). Alternatively just ask for the state minimum...which is probably extremely low...here in Ca it $15k total cover as a min.
Check out the Florida DMV website, rules for driver/car licensing will be there somewhere.
Official Website Florida Department of Highway Safety and Motor Vehicles
Personally I would leave your car at home and either buy one when you get here or look for a long term rental.
Hope it helps, all of the above if with a Ca slant...Fl will be different
Meant to say that I'm paying around $1k for 6months to give me $500K cover on 2 cars.