The good thing is the beehives should be settled in for winter. If you seal them up and cover them, they should be comfortable. The map says it is a 17-18 hour drive from Mulvane, KS, so two days driving should not be that stressful on the bees. They will love Florida in the spring, lots of nectar and pollen available.
Where will you be living? If it is a subdivision, I would check on any HOA rules for the neighborhood.
I found this, it looks like you will need to stop for an agricultural inspection once you enter FL:
"Regulations for Keeping Bees in Florida
The Florida Department of Agriculture and Consumer Services Division of Plant Industry (FDACS-DPI) is the governing body that oversees the rules and regulations of keeping honey bees in Florida. Florida has a mandatory registration law, thus each beekeeper having honey bee colonies within the state must register with the Department. Registered beekeepers will be issued a unique firm number; this number must be permanently marked on each of their hive bodies for identification purposes. Beekeepers’ registrations must be renewed annually, and all registered beekeepers will undergo routine inspection for symptoms of American Foulbrood by an FDACS apiary inspector. New honey bee colonies moved into Florida are also subject to inspection by the Florida Department of Agricultural Law Enforcement. Any bees or equipment found to be infested with specific pests, including American Foulbrood or African honey bees, will need to be treated or destroyed if treatment is not possible. Adulterated honey product will be confiscated. Visit the FDACS Beekeeper Registration page for more information.
With permission of the land owner or legal representative, managed honey bee colonies in Florida may be located either on agricultural land or on non-agricultural land that is integral to a beekeeping operation. FDACS holds the authority to preempt any local ordinances that prohibit beekeeping except for those adopted by homeowners’ associations (HOA) or deed-restricted communities. Any colonies kept on non-agricultural properties must follow the Best Management Requirements (BMR) for Maintaining European Honey Bee Colonies to be in compliance with the Beekeeper Compliance Agreement (FDACS-08492). For further explanation see the publication Best Management Practices for Siting Honey Bee Colonies: Good Neighbor Guidelines."
https://edis.ifas.ufl.edu/aa264#:~:...their hive bodies for identification purposes
Also Florida's climate means you will need to treat for mites year round since there is not a brood break. And the dang hive beetles love the warmth and humidity, so keep an eye out for the hive beetles. If you use a bee jacket or suit, you will need a good ventilated one most of the year.
And find a beekeeping club, that will allow you to find out quickly about keeping bees in FL.