Typically, you register to vote in the city where you are a permanent resident...where is your permanent residence? do you plan on making florida your permanent residence?
If your only moving to florida for school, then you'd be a temporary resident and your california residency would stay permanent...
when you register, register for an absentee ballot or early ballot and don't change your permanent residency until after the election... besides, it takes, I think, 2 years to gain residency when you move to florida....but don't quote me on that.. it's been a while now since i've lived there.