Can anyone recommend a reliable transport service?

Try ww.Uship.com
It can save you lots of money if the buyer and seller are patient. I live in northern Michigan and had great luck with it so far. Just this fall I had another Duster hauled in (when gas was still $4.00/gallon) from San Bernardino, CA for only $1,000.00. I also had a Dart Sport hauled in from the AZ/CA border two years ago for only $800.00, a 2000 Hyundai Tiburon from AL for $750.00, and a motorcycle brought in from the coast of Maryland for $400.00 all from that site.

I have two car trailers and couldn't get them that cheap even with a decent load heading out.

Definately do not use a broker!