There is ABSOLUTELY NO NEED to discharge a monitor of any type, be it an arcade monitor, a PC monitor or a consumer TV set, if all you're doing is "moving it".
The only time you should ever even think about discharging a monitor is when you are:
- Reparing the monitor boards (e.g. cap kit, new flyback or HOT, fuses, etc...)
- Swapping tubes out
It is more dangerous to you and more potential for damage to the monitor by discharging it when it doesn't need to be. Also a defanged (discharged and anode wire removed) tube is actually more apt to give you a shock than one that is still connected, because if you discharge it and leave it sit without reattaching the anode wire, it will rebuild a charge just by sitting in the air, waiting to zap you when you attempt to put it back together (or accidentially touch the anode hole) if you don't discharge again.
Each discharge can send thousands of volts of electricity through the monitor and if the wrong things are touched by inexperience or just bad luck you will ruin the electronics.
There is always the risk of implosion, charged or discharged, it's always the same. Also you need to be careful not to touch any part of the circuit board underside (or metal parts on the top side) as the main capacitor can hold a mighty powerful charge even when the monitor is off, if there is a problem on the board that is, like a blown fuse. Also be carefull!
The best analogy is this: Attempting to discharge a monitor just to move it is like asking someone to remove the POSITVE wire from the battery terminal of their car if all they wanted to do was put it in neutral and physically push it backwards out of their garage without starting it. Again, it makes absolutely no sense to do such a thing, and a removed postive wire in your car is just asking for trouble when reattached as you could cause a spark and have collateral damage.