I moved my 125G about a year and half ago. I pulled most of the water in brute barrels. I added in there the rocks there were without corals and some of the LPS corals at the bottom. I took the sensitve/fragile corals out in smaller buckets.
Then I made a mistake

. I left about 4" of water in the tank with rubble rocks, sand and most of the fish & inverts. I thought they will be fine. But I lost 2 fish, crushed by the small rocks moving around during transport.
So I suggest taking all the fish out into containers. Snails & crabs should be fine left in the tank.
Once everything was transported, I placed everything in the same room to bring them to the same temperature. After about 1h, I started putting everything back together. Then restarted the system completely.
Beside the 2 fish that got crushed by the rocks, I didn't loose anything else.
BTW, if you tank is large consider emptying it completely. Mine is a 125G glass, 6 ft long x 18" wide. With just 4" of water, ruble & sand it still took 4 guys to be able to lift it. It was super heavy & hard to maneuver it.
As time planing, the whole move took me about 10h, not including the time I spent finding containers, barrels, powerheads, etc.