In order to be able to tile the windows (instead of the white moulding) like in the second kitchen, what steps would I have to take? Just remove the moulding on the inside then tile?
Yes, carefully remove the moldings before tiling. Using a utility knife, cut the caulking between the molding and the wall first so you can pry them off with a prybar or small putty knife. In the picture, it looks like they also tiled inside the window frame as well. I would consider this carefully, as those windows are probably designed to be removed from the inside and tiling there could prevent you from replacing them in the future.
You are exactly right just remove the old moldings and you will have to make sure you fill any cracks for water to get in but you just install the tile instead of new molding.
