Have a safe trip, KathieI. I did this trip but from the San Francisco area to Palm Harbor, Florida in 1996. My parents took our dog of that time-- a cocker spaniel-- along with them in a different vehicle and a few days different from my trip.
I stopped at the some spots along the way like scenic vistas along Highway 1 in CA, the Grand Canyon, Meteor Crater
http://www.meteorcrater.com/index.php, a few places with historical markers in Texas, beaches in Mississippi, the USS Alabama
http://www.ussalabama.com/visitor_info.php, beaches on FL's panhandle, etc.
Took me a week or so.