Start researching compounding interest. Paying off loans is a lot more difficult than it seems at first... Especially once life starts throwing all it's monthly fees at you (energy, phone, water, rent, food, internet, knife fund, etc)... You'd be amazed at how quickly purchases like toilet paper, shampoo, deodorant, etc add up. Coming from someone who is just now finishing paying off a school loan after almost ten years... Do everything you can to avoid taking out a loan. Your parents are making you a ridiculously generous offer... I'd take them up on it. At least at first.
You can still have a pretty awesome college experience away from the dorms. I spent my first year in the dorms and it was fun (when I wasn't dealing with a shitty roommate, who thankfully dropped out after 3 months), but the real fun didn't start until year two when I lived away from the dorms (still spent some time partying at the dorms).