Who do you guys use for shipping a car?

Reliable Auto Transport
That's who I've used many times,and when I didn't, boy did I regret it. They are called Reliable Carriers Inc. now.
EDIT I just googled the carriers above and they look like they might be different companies. So I used Reliable Carriers Inc.The big orange vans.I believe they are still a division of Allied Van Lines. I used Allied when moving from Pa to Nevada. They were able to take our car along with all the home stuff in one trailer.