My son moved from the US back to Germany. They sold or jettisoned all their furniture, chucked loads into the car and put the rest in suitcases. He had worked out that it would cost about $1000 to ship the car from the West coast US to Hamburg - no dearer than getting a container for all their stuff. Even with the cost of administration, it still worked out cheaper than selling the car and buying a new one in Germany.
However, that won't help the OP. Just go to a price comparing website and/or ask at your garage. Also advertise locally to see if someone wants to go to the area you are moving to and could drive the car there for you, killing two birds with one stone.