You will have a great time camping. Lots of good info already on this thread!
Where you camp and what you do will certainly depend on your own personal preference. If you always want a hot shower, lots of water, to be able to run your air conditioner, etc. you will want to stay in a commercial camp ground. Many of them offer a great deal of amenities. If beauty and quiet is primary, then you will probably want to stay at the state parks, National Forest campgrounds, or other public access sites. Go to any good bookstore and you will find lots of camping guides that will help you find places to stay. Be sure and check out the camping threads on the forum as was suggested earlier. They have some great information!
If you don't have to travel and hit 13 states in 4 days, I suggest you find roads that are off the Interstate... you will enjoy the drive much more and find you can "slow down" and take life a little easier when you are on Airstream time. It depends on when and where you are going, but maps will become good friends.
Take lots of little trips like overnighters and all to work out all the "bugs" in traveling in your 'stream... with practice you will know what you want to take with you and what you don't need as well as where you want to stay.
Have fun and enjoy!
Mrs. NorCal Bambi (traveling in S Tardis)