wet tile saws
Last winter I did exactly what you're planning to do.. tile a bathroom and build a fireplace with stone veneer. I bought and used two tools that were invaluable; a Husky tile saw from HD or Lowes (I forget which one) for under $200 and an angle grinder. I used the tile saw far more than I expected and in ways I hadn't anticipated for the stone work. The stonework required every stone to be cut to fit a dry stack arrangement and the tile saw was great for "freehand" cutting the many shapes, niches and edges that had to be trimmed. The angle grinder filled in when the tile saw didn't have the right geometry for the cut. The picture shows the final result.
On bathroom tile, the tile saw worked very well, including 45 degree cuts for bevel edges when needed. I thought about going with a more expensive saw but opted for the less expensive model and am not unhappy at all. I used 3-4 blades over the course of both projects and recommend keeping an extra at all times. You'll know when you need to change blades.