What's on the floors and walls where the two meet? We have tile on the floor of the new master bath and tile on the bottom half of the wall. We used no baseboard. In the older bathroom there is tile on the floor and sheetrock on the walls...wood baseboard like the rest of the house. If you prefer the look of wood but the worry/hassle free tile, you could use a wood-look tile baseboard. I like the clean look of our master bath where the tile floor and tile wall meet (with no baseboard). Monica

Thinset. NEVER use Liquid Nails, or any other construction adhesive. Once dry, they get very brittle, and it's easy for the tiles to break loose.

In my main bathroom (with tub/shower combo), I was initially intending to install wood baseboard around the room and ended up trimming out the edge of the tub/shower with bullnose tile and then carried the bullnose tile around the room instead of wood baseboard. It was not my initial plan, but I'm really pleased with the result. The trim around the door is still wood and it goes all the way down to the floor with the tile baseboard butted up against it. I just thought I would mention it in case you wanted to give some thought to using bullnose instead of wood.

Fori,,I meant if they're not wood they're always white. Ok,,,maybe .05% of the time someone paints their baseboards a weird color like gray or black or blue. But they're white. Unless they're wood,,,which I stated. OP seemed to think white baseboards were something from Mars and was befuddled about painting them white, even though there are no white walls. Perhaps looking through living room pictures would help. those dated, 1.5" wood baseboards he has need to go. they aren't even in decent shape. He asked about staining them. do you know how much work it would be to strip and stain those thin moldings? I'm trying to save him a ton of work. Welkster, Rip out those baseboards and replace them w/white ones. You don't need to pick any certain white. Just a simple, neutral white. no one wants dingy white baseboards. If you want to keep the ones you have then paint those white.