Rather than take the advice of every Tom, Dick and Harry, why don't you ask your recruiter as to the actual policy on the issue and follow his advice. He undoubtedly should know as he is a recruiter for a living. If he says he doesn't know, then ask him to find out for you.
I've been reading this thread and I'm actually a bit nauseated at the fact that some of you are embarking on a military career and the focus seems to be on getting away for a weekend of liberty while on course as opposed to just physically and mentally preparing yourself. On top of that, you haven't even started training yet. If your excuse is for storage reasons, then don't bring as much stuff with you. You should bring the bare minimum of what you have been told is required.
In my view, bringing a vehicle to basic training is only going to turn into more worry than help. In addition, having a car there with you for liberty can potentially increase your chances of getting in trouble. I'd leave it home. Pay for the cab ride to wherever. Don't open yourself up to trouble at the start of your career.
In some other militaries to the south, they don't let recruits have a car on base until they are MOS trained and have transferred to their first duty station. You also don't bring anything civilian with you to training either....just the clothes you showed up with and you don't get to see that again until you graduate. They also don't get weekends off during basic training.....must be harsh.....
PJ D-Dog