Who do you guys use for shipping a car?

We have a move coming up in a couple months. Colorado to southern Oregon. Have too many cars to drive everything in one trip.
Was thinking of towing my Dart up with my truck and getting it setup in its new home, and then driving back. Everything else can go on the final move, my truck towing our camper, and wife driving her car, the moving company taking everything else.
But from previous trips up there with truck towing camper it's cost us about $1500 for gas, food, motel, etc. and a week off work to do it.
I figure for $1500 I could just have the Dart shipped up now, save taking a week off work, and wont have to actually make the extra trip up ourselves. My bro-in-law is up there and he could receive the car and get it parked in the new garage.

So, who to you ship cars with, what company do you trust to deliver your ride without any damage or problems?