I don't think I could calculate that very well. We live in an 800 square foot, two bedroom joint. The bed is not going. Lotsa stuff in storage sheds though. Uhaul Pod is 83" tall, 56" wide, 95" deep. I think I could cram it all in one, my wife says no, we'd need two. She is usually right about things like this.
I’ve done more moves than I care to count over the last couple of decades. The first decade was military moves, the last decade+ has all been as a civilian. The last move was from Japan to Phoenix in 2019.
Military moves are the easiest. They hand you a set of orders and tell you on XXX date, make sure your dishes are clean and your trash is emptied, because the movers WILL pack your garbage and send it to you overseas. It smells great when you unpack it.
I moved from west coast to east coast in 2009, packing, driving, unpacking by myself. I did the return to west coast move the same way in 2015. I don’t plan on doing that again.
800sq ft should easily fit in one 12 ft pod, especially if the bed and appliances aren’t going. But, the storage sheds you mention could be anything from a lawnmower and a rake, to a warehouse full of “stuff.” If you’re like me, it’s the latter, most of which i describe as “no idea what’s in there, but I’m sure I’ll use it someday.”
Packing the truck/pod…the first half always looks like a pro packed it. Everything fits perfectly and is neatly packed and secure. The second half always looks like I shot everything into the truck from a cannon, because I inevitably pack all the neat stuff first and save all the oddball shaped stuff until the end when I am sure to be tired and frustrated.
If it were me, and I were moving 1000 miles and not driving myself, I would seriously consider a moving company to do everything from start to finish. It will be more expensive, for sure. But as mentioned, they break it they buy it. And when it gets to your new destination, they will unpack it and take away all the boxes and wrapping supplies. That alone is almost worth the price.
Find out who contracts the military moves in your area. There will probably be several companies. A full service mover will be the most hassle free and can make moving almost enjoyable.