We had the good fortune of having my employer pay for our moving expenses and they had an arrangement with Allied Van Lines. We had a very positive moving experience with them. They arrived when they said they would to pack up our house and packed everything VERY well. They were also on time to unload at our new house and worked hard to get it done. The movers were very considerate and made sure to put everything in the rooms we wanted it.
We had one box that had damage to it, due to the van leaking during the period when our items were being stored in it and the box that happened to get wet had books in it. We filed out our claim for and were reimbursed very quickly without any hassles. We had a very positive moving experience with this company.