What size tanks are you moving? 10 or 20 gal you may be able to move with the substrate in, but any larger will be VERY heavy and risk breaking the bottoms out. I have moved my 75 gal a couple times (relocating and replacing a damaged stand).
Get a few 5 gal buckets with lids, one for the fish, one for substrate, one for live plants if you have any. Make a few small holes near the center of the lid of the fish bucket and run an air line in through one of the holes to keep them alive. A battery powered air pump should keep them kicking for the several hours it should take to set up their new home. As stated earlier, keep the substrate & filter media wet so you don't have to deal with a cycle when you set everything back up. I also clean out the gravel as I'm scooping it out.. amazing how much dirt accumulates down in there!