If I'm tracking, the toilet shut off is completely useless, correct?
In which case, you will need to shut off the water somewhere "upstream," probably at the main shut off for the house. As to the hot water heater, I wouldn't worry about it. Your heater spends most of the day sitting there, full of hot water, occasionally turning on to keep it hot. It doesn't really matter if you open or close a valve at the water main, or at the faucet, there's no water flowing through the tank.
As to replacing the valve, I've had good luck with Shark Bite fittings. Saves having to sweat a new valve into place. As too removing the valve, a
pipe cutter should do just fine. If there are clearance problems, look for a
low profile pipe cutter. The low profile ones do take a bit more hand strength to use and only work on one size of pipe but they are dang tiny. One thing that SharkBite doesn't respond well to are burrs on the pipe. A pipe cutter like the above
shouldn't leave any exterior burrs but ask about a
deburring tool.
One very good piece of advice I got was to buy a
SharkBite Cap, and
removal tool in every size pipe you might find yourself using. This way you can hit PAUSE on a project, restore water to the rest of the house and run out for parts, or stop for dinner. Also, look in the tool box/parts organizer section for a small container to hold the caps and removal tools. I like
zipper pouches, but that's just me.
Hope this helps.