That seems like an extremely high price! Yikes. I get that it's a long move and a pretty full service operation, but still. I'd try to eliminate what you can to minimize the cost, maybe even do some of the packing yourself if possible (or have friends help). We used this company
https://threemenandatruck.net/d-c-packers-and-movers/ when we moved from out of state and they were among the more affordable movers we found after a bit of work. Possibly reduce the job to as little as you reasonably can and see what they would charge?