Flooring Tile - Cutting Porcelain Tile

OK, my wife and I are in the short stretch to finish our kitchen.
She bought some large porcelain tiles (17") for the walls between the base cabinets and the wall cabinets.
We have electrical outlets on the walls and need to cut this stuff.
I tried a Rotozip that I have with the tile cutting bit (TC1) and cutting from the back of the tile it just seems to bog down.
We have a tile cutting saw, a cheap one. Can this be used to due cutouts in the center of a large tile?
I also have an angle grinder. Do they make a diamond blade for these?
We also own a router but have not used it much.
Or what do we need besides professional help here?

I've got a 4 1/2 inch angle grinder with a four inch dry cut tile blade that I use for those cutouts. You can use a wet saw, but I have better luck with not breaking the tile with the grinder. The blades are a bit pricey, but last a long time.

OK thanks I found them and will get some today.