I think you need to flag down one of the Dr's on here, and get an evaluation. Only half kidding.
Agree with using a local professional mover and getting multiple quotes. The other thing is determine if you have anything sentimental, irreplaceable, or highly fragile. Consider moving those things yourself. If you do move things like that, I'd probably rent a 3/4-1 ton van from one of the car places, rather than uhaul. Maybe just my bad luck, but the rental truck places aren't always great with maintenance. I'd also have the movers pack everything. Packing is just about worse than moving, and they know how to do it.
If you have any compressed wood furniture, ikea/walmart/home depot/whatever, I'd suggest landfilling it rather than moving it. Moving is also a great time to de-clutter. I say that as someone who is always in need of de-cluttering.
I wouldn't do the 'slow pack store in containers' thing, as it's a great way to get your things mildewed/rotted if there is any possibility of moisture. Move like the old MASH TV show did a bug-out.