In 2006 my wife and I moved to Buenos Aires, Argentina from Washington DC. In 2009 we moved to San Diego, CA from Buenos Aires. In both cases we shipped a full 20-foot container of household goods, and in both cases used Atlas International.
In very general terms, the cost of each move was about $13,000. I don't remember the exact figures, but it seems to me that that was the average of both moves. That included packing us out, storing the goods until the ship was available, shipping the goods, getting things through customs, short-term storing of the goods at the destination until we were ready to receive them, delivering and unpacking, and removing all packing materials. There was also some insurance included.
We were recently considering moving some household goods from Norfolk, VA to Paris, and again contacted Atlas. We asked for estimates on one or two
lift vans (45'' x 87'' x 87''), each weighing about 1,000 lbs. Also, the same services that we got in the move to and from Argentina.
For one lift van the cost was about $5,000 USD. For two lift vans it was about $8,500 USD. Again, door-to-door service.
I don't know where that fits into the spectrum of expensive or not, but in both moves -- and a third move across the U.S. from San Diego to Norfolk, VA -- not a single thing was lost or damaged.
I would also add that in the Argentina move, and in the recent Paris considerations, Atlas put us in touch with their local destination shipping agents. In the Argentina case no other company was willing to do this before a contract was signed, and it made all the difference in the world. More recently, it also made a difference to be able to talk with the local French receiving agent and get their views on clearing customs, etc.
Hope that helps. If you would like a contact at Atlas International, please let me know.