late to thread.
I literally have moved/had moves, like some of you, hundreds of vehicles (including buses/motorhomes).
Like Ayilar said, I have used A&A in GA with largely with success, as well as members here with good results too.
So can't add much to what has been said above except ini 30 years at it, worldwide, boiled down to five points I have concluded (may or may not match others' experience):
1. getting contemporary recommendations from trusted sources (members here, good friends, other reputable sources, etc.) is a good start
2. think about the transport options, and all the elements of cost, before you buy/sell/move a vehicle
3. if you are time pinched, want a specific date for PU/delivery, going from/to some place off the beaten path, caught in a seasonal eddy/going against the flow, be they brokers or own their own fleet, paying more has a greater likelihood
4. the usual stuff, in-op vs running, open or closed transport, etc. add/subtract costs
5. IF find somebody/company you like, who is insured, if you transport a lot/little, or you cant/dont wanna handle the move yourself, STICK with that trusted company/person