Is it a nice car that you want to travel enclosed and cared for or is a lesser car where you don't car if it travels on an open carrier?
Makes a big difference in price.
If price isn't the issue and you want it to travel frist class then I reccomend Intercity Lines... Ask for "Big Mike"
http://www.intercitylines.com/
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"A ship in port is safe, but that's not what ships are built for."
See Bad Penny run the cones:
https://www.youtube.com/watch?v=8GUPPIX-92U
1971 Chevelle Wagon - Roadster Shop Chassis ProCharged Shafiroff LS and lots of yada yada
1968 Camaro - Project Track Rat - 440 RHS LS