I stand corrected on the under the seat. This is what I found quoting it from the Florida Firearms law, Use & Ownership.
Anywhere you want EXCEPT on your person. It can even be under the seat -- as long as it's securely encased in a container or box with a closed lid; or a zippered, snapped, or Velcro-closed pouch, holster, or gun case.
NRA Life Member, NRA Range Safety Officer, NRA Certified Pistol Instructor, IDPA Safety Officer, USPSA NROI Range Officer,
ICORE Range Officer
As you are, I once was, As I am, You will be.