When I was Moving from Boston to Alabama, I hired a small truck and one man to help me transfer my large boxes of lego along with the other stuff I had. I could, for sure, drive on my own if only I had a car. But a couple of years ago I divorced my ex-wife and lost the opportunity of driving my auto. So searching through google and by finding a particular https://starkmovers.com/moving-from-boston-to-alabama/ link helped me a lot. First of all, my time and nervous system were saved.
Thus, I successfully transferred my Death Star and two Star Destroyers of Lego without any problem. They were in carton boxes.
But as deraven mentioned above, you may try to ask ups for help as well. Or FedEx.