Ideally set up a new larger tank with some water and rock already curing/cycling, then add your water and rock/fish/coral to the new tank. (It becomes basically a big water change but you keep your bio diversity with your old water.
Put in new substrate rather than recycling the old. - When you move around the old substrate, it's going to stir up all kinds of stuff.
Check out my moving thread. If you have to move the main tank, empty it's contents into travel containers, and house them inside your new place with a power head and heater until you get your tank moved. LPS, Softies, and Fish are pretty tolerant to a move. It's the SPS that are finicky. You should be fine!!!