Hey, congrats on leaving for college! Good stuff! Where you going?
For a 1/4 mile bike ride, I say, avoid suspensions. Full suspensions, front suspensions, whatever. I hate em'. I see them all over campus here (university of michigan) and I don't get it: smooth asphalt, sidewalk, the occasional curb or pothole. Shocks cost more and every year or so need tuneups.
Go for a roadbike too. For 1/4 mile in the city, mountain bikes are added weight.
IMO, I say buy a new bike. Not to say buying used is bad, I've just had bad experiences. I bought a used Mongoose DX3.3 at the beginning of this year for my ~2mile commute to class. Used bikes are ok, but students, IMO, have the tendency to take less care of equipment like that. They just leave them on the rack in front of the dorm, house, etc. And with MI weather (or most weather any other place) it's just no good at all.
Should you buy used, here's some things that I can think of.
*Check to make sure the chainring(s) and rear cassette are not rusty or worn out. Look at the gears and make sure the teeth are not worn down. Maybe compare them to a new one? if you aren't familiar with what a new one looks like.
*Check to make sure the seat is not frozen. Bike seats are made of Aluminum, which will fuse to some steel frames given improper maintenence. So unscrew the locknut and check to make sure the seat can be adjusted to your height.
*Make sure all shifters/brakes are sensitive and working properly.
*Check to make sure tires are true. Turn the bike upsidedown and give the wheel a spin. Get a piece of chalk, and while holding it steady, lightly mark the side of the wheel. If the mark comes off the wheel, the tires maybe be out of true.
*Rust is bad.
*For good measure, if the chainrings/sprockets are not worn out and the bike chain is NOT a new on, it's a good idea to just put a new one on. You can't really tell when a bike chain is worn out. Or, at least, I can't tell when a bike chain is worn out. They sell special calipers that measure the distance between links, yadda yadda yadda... Bike chains are cheap and easy to install, so it's good to start off with a fresh slate and not risk an old one breaking/causing additional wear to sprockets/performing poorly.
*TEST ride it!!! At the beginning of the year, I saw A LOT of students walk into the bike shop, see a bike, and buy it w/o ever getting on it. Seriously.
I say all this, b/c this is all stuff that got me when I bought my used bike. Crappy tires, worn out sprockets, rust, fuzed seat, nearly broken gear cables (they broke not long after I took it home), the works. I did test ride it, but I wasn't thinking about the little stuff. Ended up putting 140.00+ repairs and work on the bike to save the 60.00 or 80.00 it saved me to buy a new one. I feel/felt like a jackass. Live and learn, right?
I'm seriously a noob, these are just some of my impressions. Talk to Slide13, I bet he's got what you need.