I paid £240 to have my GTR moved 100 miles, then the same to have it brought back to me. This was with a "classic/prestige" car transport chap who had an open or/and covered trailer. He was very professional and had insurance up to £100k, he also provided me with live tracking so I knew where my car was at all times. Picked up when he said he would and delivered when I wanted, very good.
When I was searching I also found some people that would "do it for a oner" but they were mostly car recovery people that were more suited to scraping a crashed car off the road and dumping it at the local breakers.
So it depends on the car I guess.