Get a couple big storage totes and fill them with tapwater. Dump and refill every day for at least several days. Then they will be "reasonably" fish-safe.
Then you can put the fish adn as much aquarium water as you can salvage into them when you have to move the tank. If it will only be for a half day or a day, just an airstone or such to keep water circulating (to improve oxygenation) is sufficient. However if you will be doing anything in the room that involves fumes/solvents (painting, adhesives used in flooring, etc) then it might be smart to keep the fish out of the room for *several* days, in which case you should probably put the filter in the tote(s) too.
If you do not run the filter in the tote with the fish (e.g. because it'd create too strong a current), it would be best (if you can manage it) to give it it's own tote, again with water from the aquarium, and keep the filter running *there* while the aquarium is apart. This will keep the filter alive and functional. If you let it dry out, or even just let it sit stagnant, for half a day or several days, a whole lot of the necessary bacteria will croak and it will have a hard time maintaining good water quality when you set it up again. Best to keep it operating as normally as possible.
I would drain almost all of the water out of the tank (this might be a good time for a thorough vacuuming of the gravel!) because even just the weight of the *gravel* can be a problem for moving the tank and causing it to crack or leak. Personally I'd move it with nothing more than damp or saturated gravel in there (depending how MUCH gravel you've got). And be reeeeallll careful, and reeeeeaalllll careful again when you set it back up. I would suggest filling it halfway and letting it sit for at least half a day with some sort of "telltale" under/around it to let you know if it's leaking, before putting the fish back in. You don't want to get it set all back up and then have to vacate it AGAIN cuz it's leaking. (A very small seep *may* cure itself in time, or it may not; a more substantial leak in a large tank usually requires getting a new tank as they're hard to repair reliably. This is extra incentive to minimize weight in the tank when you move it!)
So, it can certainly be done, but especially with these larger tanks, it is a real good idea to take as many precautions as possible because it really sucks to have things go wrong
Good luck, have fun, happy renovations
,
Pat