I'm planning a trip in the area and one of the routes I'm considering involves Munich by night train. Unfortunately, because I'm also cheap, I'm not expecting to shell out enough for a sleeper train with shower facilities. So, I'm looking now for public shower facilities near a rail station in Munich. Not necessarily free, but preferably something less than hotel check-in//check-out same-day. Do any Munich rail stations have public showers? If not, does anybody have any suggestions around?