This was an eBay purchase. I had intended to drive it home, but decided the distance - 160 miles or so, on busy roads, was too far for a first outing.
I received 8 or 9 quotes via uShip. Tony's was the next to lowest. I liked him because his is a small family business, and he responded quickly when I emailed to check whether my car would fit his trailer - it has a very narrow wheel base.
I learned about uship from an Austin Seven internet forum, and found it very useful.