This may not help in your situation since you have bedroom furniture, but several years ago, I moved from NYC to the DC area (SilverSpring). I had LOTS of books, but minimal furniture — although I did have a large butcherblock desktop. I was actually able to ship the equivalent of a small apartment using UPS. As I recall, they would make a certain number of pick-up visits for a reasonable fee, so I didn’t have to ship everything all on one day. They had weight limits and size limits, but I’d bet most small items of furniture would make it if you didn’t mind breaking them down to fit packing boxes. The price also included insurance and tracking, and the total cost was MUCH less than the other options that I investigated. That said, if I had had an acquaintance willing to drive a U-haul or who owned a van — I would have gone with that as an even less expensive option.