To transport a vehicle with enclosed trailer is really a good option as it avoids the chances of damage. You can look for transporting companies online as there are more options available over there. There are many car shipping in California like We Will Transport It, who assures the safety of your vehicle with good service. For more information you can visit their website and contact them.
Maybe try A-1 Auto Transport, Inc - company I've used a couple times to ship enclosed out of state. They seem to sort of "specialize" in distance shipping and they had some good reviews regarding luxury/high end vehicle transport so I went with them. Didn't have any complaints and would use again.