Toto,
You've got to give them your license, but you do not have to consent to a search. In the past, I have consented out of fear that some of my "cargo" might be interpreted as contraband, but in all honesty, I only carry everything with me on trips (I used to practice in Pinellas and in Dade).
Whenever I was stopped, I was more forthright than I am now. I would've shown them my ID and my concealed carry in the past, and they would've asked whether I had a weapon, etc, whereupon I'd have to watch the cop do a ten minute song and dance with my carry piece to make sure it was clear. "Anything else I should be concerned about, son?"
"Yep, officer: in the ACU backpack you'll find about ten different medications. They're all prescribed and their labels are up to date. In the trunk you'll find a wide assortment of rifles, pistols, scopes, and ammo."
This course of action never went well, as they would call in an overwhelming show of police force that would go through everything I had piece by piece, but without much discrimination or scrutiny for the respective values of the items. They'd clear me, give me a speeding ticket, and let me go.
Now, things are different. When stopped, I don't say a word, not even hello. I roll my window down only when asked. When asked if I knew what I was doing, I always answer "no." When told, I answer "oh." At no time do I tell the officer I'm strapped, and at no time does he ask if he can search the car. By having the officer make the statements himself, he has in fact limited the scope of his search to "you were going too fast," or "you blew that red back there." He doesn't have anything to pull him out of that scope, unless there's something suspicious in plain view, or unless he makes something up out of thin air: no reason whatsoever to search your car without consent.
And don't just decline consent, decline it affirmatively: "No you may not search my car, officer." When he asks if you have anything to hide, answer "certainly not." That should be the end of that. If they persist, inform them that they are coming dangerously close to harassment for "what you said was a routine traffic stop." Be emphatic, but be aware: they can always make something up, and they often do. When that happens, be sure to have your CCP on you and you'll be fine if the weapon is on you; if it is in your glovebox, trunk, or otherwise securely encased you do not need a permit, so don't worry.
If you have drugs, a half empty bottle of booze, or anything else that you shouldn't have in your car, then you'll need a lawyer. As your attorney, however, I advise you to leave everything you don't wish to be found at home, since the threshold for searching your car is much lower than searching your home. At home, you can leave your Xanax, your pain pills, and your dronabinol in the same container, in your car you shouldn't: if they're not understanding about it, you're going in just for the mix, and even a withhold on a drug charge causes you to lose your concealed. Carrying anything dumb in the car? Just don't.
And give me a call. Let's go shooting. I'm gonna turn you on to 1911s.