Yeah it's important to find a good shipping company since they are going to drive your across a certain distance and if they will somehow damage it there is very little chance you will be able to prove that it was the shipping company's fault. I can recommend you try Ship Vehicle (You can check them out here:
shipvehicles.com) just because I used them recently and they were really nice. I bought a car from a dude that lives in NYC (I'm currently in Cali) and since I didn't have an option to get down there and drive the car to California myself, I hired a shipping company. They were good in the general price/quality equation and the staff was very professional and helpful. I will definitely use them again if I ever need to ship my car somewhere