I have made 3 cross country moves in my lifetime. There are services out there that specifically move cars. They load them up onto transport vehicles and just ship them out. The rates are very reasonable. In fact, it is probably worth it for what you will save on gas, and the headache of driving yourself.
With respect to movers....movers are like used car salesman. They will screw you over more often than not. That being said, I NEVER move anymore without using movers. Throughout my undergraduate and optometry school career I moved probably about a dozen times. Movers are not cheap, but considering the work they do, for me it was always some of the best money that I EVER spent. I recomment them highly. I have always used Atlas Van Lines. They are a national company with local dealers.
The key to a successful move is to allow time lattitude on both ends. For example, if you HAVE to be out of your apartment on July 30th, do NOT schedule the move for July 30th, or even the 29th. Schedule it for the 25th to allow for some "screw up factor."
Same thing on the other end. If you start school on September 10th, dont have your movers come with your stuff on September 9th. Have them come on the 4th or 5th. That way, if they are late, or there is some snafu you have a few days buffer zone.
Movers.....its the way to go man. Don't bust your ass humping crap. Pay someone else to do it. Totally worth every cent.