Ask your travel agent to help you. There is a hotel site with medium and high priced accommodation. If you are looking for something a bit cheaper, visit the hostel and backpackers' site for information. If you are driving, there are lots of motels you will find along your way. You don't usually need to book.
Motels are often very cheap but the quality varies a lot.
If you are planning a big trip, the easiest way to travel is to fly. Airline companies often have special passes so that you can fly to the U.S.A. from your country and then take a few flights from one U.S. city to another. If you plan to drive, there are many car rental companies to choose from. Greyhound operates a bus service around the States and also has a special International Ameripass for tourists and international students. There is another bus company called Green Tortoise , which will offer you travel and a kind of camping holiday.