Hi manda99, I'm also from San Diego and we have two Schnauzers who we always take on trips, not long ones like you are going to take but to Palm Springs, Idyllwild and Big Bear. If I was you I would take your pup with you don't even think about shipping it by airplane.
This would be great bonding for you and your pup and a great experience. KYS has given you a list of some of the things to bring with you and some great ideas.
Here are a couple of places on line that you can find out hotels and motels to stay at that take dogs should you want to spend the night.

http://www.dogfriendly.com
and
http://www.petswelcome.com


Jackie