If you own a gun in Florida, this is a good book to have.
If you buy the book and have a question, Jon Gutmacher is very good about answering it for free. He probably knows more about firearms laws in Florida than anyone else you would want to contact.
If the vehicle is a private vehicle, not for hire, like a taxi or limo, owned by you, driven by you, it can be securely encased anywhere in the vehicle, but not on your person, unless you have a permit.
790.001(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.
But be very careful about this. While this means that you could keep a handgun under the counter in a thumb break holster, you may run into a police officer who may disagree. A similar ssituation happened to one of the guys on Florida Shooters Network a few years ago, and while he was in the right, it cost him over $7000 to clear his name.
Glad you're getting the permit. That way it's on you. Not only is it safer legally, but you're safer if you step out of the truck to get lunch, get gas, or check for a flat.