A.F.
When we moved from the Northeast to GA, we used PODS. You have to pack and load everything yourself, but they transport it for you. They drop the container(s) off at your house, you load it, and then they come pick it up. It was about 30% of the cost we were getting on quotes for companies to pack and move our stuff. It was kind of a pain to have to pack everything and load it, but worth the savings.
Their website is www.pods.com - you can get a quote to see how much your move would cost.
Good luck!