Re: cutting tile for new receptacle
If you don't want to repair or replace tile, then it's best not to destroy it to begin with. I would recommend cutting the hole you need with a diamond blade in an angle grinder. Cut the perimeter as deep as possible, then at least one diagonal cut if not a cross-hatch. If you want to make the corners easier to deal with, use a carbide drill bit and drill through the tile on each corner.
From there you use a hammer, pry bar, screwdriver, or whatever else is needed to pop out the pieces to be removed. What wasn't cut through will chip out easily enough. Only pry against the pieces that are to be removed, DO NOT pry against the tiles that will remain as you may chip or crack them.
Once the tile is out of the way, the manner you finish the hole will be determined by what is behind the tile. If it's on drywall, then simply cut the drywall out with a keyhole saw. If the tile is over a cement backer or cement bed, then you'll continue cutting with a diamond blade or carefully chisel it out of the way.
Or, you could do it the easy way and just move.
I suffer from CDO ... Its like OCD, but in alphabetical order, LIKE IT SHOULD BE!!!