Never did, but I researched them 2 years ago when I was thinking of buying R from an out-of-state dealer. I also looked at reviews.
If price is not an issue, I liked
http://www.intercitylines.com/
They might pay them for their endorsements but I think people like Leno and Carini care more about their cars not being damaged than a few thousand or even $100,000.
I called Intercity and asked them every question I could think of. Here's what I believe to be the best possible service, regardless of the company. You want to live on a street where they can come with the large truck that's making the entire trip (true door-to-door service). If not, they will need to come with a flatbed (hopefully not a scooper) and take your car to a holding lot. Same if they can't deliver directly to your new address. You want an enclosed van, and you want to be on top, so you don't get any oil, etc., dripping on your car. You don't want your car moved to get another car off while in transit.
The transport company driver should take multiple pictures of the car and look for even the slightest damage, inside and out, and fully document them with you. When the car is delivered, the driver should again go over the car with you. You should also get periodic calls from the driver to let you know his progress.
Check on their insurance. Some cover a max amount per car or a max amount per load. You never know, the truck could get into a major accident and your car is destroyed. You don't want to spend your time fighting for them to fix or replace your car. When you read the reviews for the major companies you'll see what I mean. I don't want to slam any here. You'll find your personal car insurance does not cover you when you sign over your car to a professional in the automobile business. I never checked on the following: How their insurance company figures the value of your car if it's a total loss. I would have asked if they paid actual retail value, including taxes.