Hi,
I don't know if you have already decided on a transport company, but I use intercity and they are fantastic. They also do most of the transporting for B.J. The trailers are climate controlled and are padded walls. They also offer open carriers that are a little cheaper but if you are shipping a car that is worth a good deal of money, I highly recommend them. They really are one of the best in the business.
Best of luck.
Bob