A slight variation on a couple of suggestions here:
Get the rolling racks from Seville Classics at Sams. Put your stuff on them and organize it.
Then pallet wrap them and put them on the trailer. They strap down well, and are easy to move with one person. When you arrive your stuff is already organized and you can put it where you want it in manageable chunks.
When we moved this is how I did it. Even the professional movers commented about how much they liked the system.
As you can see below, I kept the stuff after I moved to organize.
They have two kinds, just the open wire shelves and the ones with the large plastic bins.