I've done several tank teardowns and restarts. Not much moving the tank but its essentially the same thing.
Make sure you have several bins for water, rock, fish, corals. Start by siphoning as much water out as you can and don't put anybody in with that (if you're going to be saving water). Once you get to the halfway point, use the rest of the water to store various corals/rock/fish in. I see you have 3 royal grammas, I wouldn't put them in the same bin (just a suggestion, damned cool to see 3 in a tank btw!!
). Don't put fish in with the rock (it shifts so easily) put them in with the corals. Any large slimy type leathers shouldn't have fish in with them and should probly be separate with some semi-nasty water you collect last (reduces the oxygen in the water and can react with fish gills).
For "preserving your aquascaping" I would suggest you have tubs laid out LEFT, CENTER, and RIGHT then you can hopefully put those pieces in each tub so you know what goes where. When I tore my tanks down unfortunately the only pieces that I ever got back in the right spots were the very large "base" rocks that went on the bottom of the tank (they were more easily recognizable) and some of the rocks that had corals attached, the rest was always a crap shoot (and I had photos too!!).
Moving a tank is pretty easy, its just the labouring that is hard and its very time consuming. Once you get a system going it goes pretty well. Oh and you might want to have a chunk of eggcrate or something to put over the fish tub as your fish might get a bit stressed over the whole thing and want to jump out.