This does not need to be particularly time consuming. Drain the water into something else, protect the glass (foam, towels, or even cardboard in trash bags to keep it dry). Unplug life support, and move it. Easiest if it stays on the stand because then you can just pick the stand up and go. Furniture sliders are strongly preferred over dollies as I’ve seen a lot of things tipped off of dollies when they hit a bump.
If you do have to lift the tank off of the stand be extremely careful setting it back down so that you don’t overload a corner.
It’s preferable if you can take the fish out first, but if a wrasse truly insists on staying behind leave him a half inch of water.
Things should be unplugged and sump drained if there is one before draining the display to decrease the time the coral is out of water.
Be very careful not to disturb the sand when you refill. If you don’t regularly siphon the sand it would be a good ideas to do so in advance. If you have really dirty sand and stir it all up you’re going to find yourself doing a massive water change. It wouldn’t hurt to have RO water plus dry salt on hand as a contingency plan, but you shouldn’t need it.
A few years back I relocated a 29 gallon Biocube a quarter mile or so from a residence to an office via the back seat of a car. We took out the fish and water, but not the coral or even the RBTAs. There were no losses, and the tank looked normal after a couple days.
Assuming able bodied individuals this is possible as a solo activity, easier with two, and downright simple with three.