I have the same issue. Alphy is so easy to take places because he's so mellow. Murphy is a handful. I always feel bad even leaving Murphy behind. But even when they are home Alphy is out and Murphy is locked in the kitchen since he's still a puppy.
Tough one. I also can't figure out how to get Murphy to leave Alphy alone when Alphy doesn't want to play.
I think our only alternative is to get the 3rd one!!! LOL