When my wife and I moved, we packed up the house over several weeks, decided what went, and what would be left.

We then rented the U-Haul recommended for a 3 bedroom apartment, picked two random Mexican volunteers, and paid them more than they asked for, for a very long day. It worked well.

But this did require having been well-organized before they came, having already found fragile stuff, and having our plan for how to protect those things.