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mutewolf I did a driving tour of the American West once. It was the best experience of my entire life! My family piled into the SUV and proceeded to hit all the major parks and tourist destinations we could in about three weeks. We started in the south with the Grand Canyon, then made our way roughly northwards, hitting Monument Valley, Bryce Canyon, Salt Lake City, Yellowstone, finishing off at Mt. Rushmore... plus a whole ton of more minor attractions along the way.
I can definitely recommend a ton of nifty attractions out there, and also in California (used to live there!) Do you have a tentative itinerary, or a rough idea of which states you'll be driving through?
As for road trip tips... @
Skub has it right: set aside a nice cushion of money in advance! You don't want to get stranded with no way to pay to get your car fixed. My grandparents lost a car that way. :(
Other things... if you're going with other people, really try to keep the driving schedule fair so that no one person gets stuck doing all the night driving. Plan out in advance who's paying for what so that nobody get stuck with a massive unexpected bill.
Pack carefully, and for a lot of different types of weather! Plan on dressing in layers; bulky sweatshirts might not be fashionable, but if you wind up stopping at a scenic overlook in the mountains, they'll be your friends. Also, if you do buy souvenirs, do so wisely! You could spend $50 on fridge magnets from every place you go, or spend that same $50 on a stunning piece of unique, handmade Navajo silver jewelry. The latter will certainly take up less space in your luggage.
Speaking of which, I'd recommend packing two different bags: a small day pack, which will contain your snacks, drinks, camera, warmer/cooler clothes, hat, toothbrush, and anything else you're likely to need before you hit the next hotel. Then jam everything else into your much larger suitcase, which you can put into the trunk and only unpack in a hotel. That way, you don't have to dig through the entire trunk several times a day, looking for some small item you want for a stop along the way.