The only game I ever played like that was hide and seek or "duck, duck, goose".

[ It makes her smile fondly in return. ]

The outside is fairly big enough, yes, out in the front. The back is where my bandersnatch and chocobo stay, for now. They have plenty of room to run around. These sounds like games that will tire them out well enough. Although, I should warn you: the littlest one, Slania, has a bit of a limp to her walk.