I want a new bathroom floor. Home remodelers have recommended leaving this floor (circa 1970) in place (see pic) and going over it with new floor. A reputable flooring business said it should be removed, but advised me (clueless homeowner) to do that myself because it would be extremely costly to have them do it. My sense is take it out, not go over, because I don't want to be the homeowner that piles layer upon layer of flooring (already dealing with that from prior owners in other areas). But I'm also unsure. The subfloor was lowered to accomodate this tile and base, so would need to be built back up. And I'm not sure how best to take it out (cut it out? With what?). I removed a half wall in this bathroom, so luckily have a good look at the thickness of the tile and what's under it (see pics). Or, if going over the floor, what kind of flooring product to use? (My thought is ceramic tile). If helpful, it will be meeting up with carpet in the hallway.