Dan, first you need to be sure that the vehicle will be allowed in the States. You will need a perminet export paper from the UK. The log book will be cancelled...do not had it over to the DMV. Be sure that the car has DOT approved glass, tyre, etc.. Hire a broker on this end to handle all of the paper work for you. This is well worth the money as they will deal with customs, etc. and all you will have to do is have the car collected @ the shipper dock. Do not do a "drive on" journey. I would crate or put the vehicle in a container. Be sure to over inspect upon the arrival of the auto. Some packers are real hacks. I would think that the cost to you from the UK would be in the 2k region.
Cheers, David.