Caulk or grout for perimeter of tile floor?
I had 12" ceramic tile laid in my entry, partial hallway, guest bath, kitchen and breakfast area. After the tile was laid, I came home to find that they removed the quarterround, but did not remove the baseboards before laying the tile. The tile was already cemented down, and one of the workers was pretty drunk, so I really didn't want to prolong the time they were here. I told them not to grout the perimeter, so that I could remove the baseboard myself and re-install it on top of the tile. I do have room to remove the baseboard, but need to fill the gap between the tile and wall where they didn't grout.
I need to fill the space to prevent water from getting in there when I mop, and I believe I feel cold air leaking in on an outside north wall. I don't know whether to use grout or caulk. The color won't matter, because it will be hidden by the baseboard and quarterround. I know that caulk would give me a good seal, and would be flexible to allow for shifting or expansion. However, I may want to replace this tile at some point in the future and I don't want to damage the sheetrock, so an adherent caulk may not be the best choice. I do think caulk would be the easiest to apply.
I apologize for not explaining this better, but I could really use some advice.