Since I don't like to give bad advice, I decided a look-up was in order. Turns out my advice in this thread has been accurate... IE I remembered the laws correctly from when I lived in Florida, a few years back.
Caveat: I'm not a lawyer. For definitive answers, ask a lawyer. However, here are links to Florida statutes and regulatory guidance:
section on Florida:
790.25 Lawful Ownership, Possession, and Use of Firearms and Other Weapons
(5) Possession In Private Conveyance.--Notwithstanding subsection (2), it is lawful and is not a violation of s. 790.01 for a person 18 years of age or older to possess a concealed firearm or other weapon for self-defense or other lawful purpose within the interior of a private conveyance, without a license, if the firearm or other weapon is securely encased or is otherwise not readily accessible for immediate use. Nothing herein contained prohibits the carrying of a legal firearm other than a handgun anywhere in a private conveyance when such firearm is being carried for a lawful use. Nothing herein contained shall be construed to authorize the carrying of a concealed firearm or other weapon on the person. This subsection shall be liberally construed in favor of the lawful use, ownership, and possession of firearms and other weapons, including lawful self-defense as provided in s. 776.012.
790.001 Definitions.--As used in this chapter, except where the context otherwise requires:
(17) "Securely encased" means in a glove compartment, whether or not locked; snapped in a holster; in a gun case, whether or not locked; in a zippered gun case; or in a closed box or container which requires a lid or cover to be opened for access.
While we're at it, there's a good review of Florida's Deadly Force laws on the Florida Dept of Agriculture website (Ag handles concealed permits in Florida, for some reason):