Very helpful, thank you.
Right now, I'm thinking of either an MK-370 or 377 in addition to a diamond blade for my angle grinder. Think that would work?
For a better idea, the project is:
~400 square feet of 12" floor tile
-3'x4' shower stall, mosaic floor, 6" wall tile, probably something funky and decorative on the walls. I'm putting in a shower niche, so I'll have some more complicated cuts for that. I'll also have some deep cuts through the stone I'll be using for the threshold and the shelves in the shower niche (say 1" thick).
-About 25 lineal feet of kitchen backsplash. It might be 6" tile, it might be mosaic, the boss has yet to make up her mind on that one.