Hitmonchan and his kin are definately household. They can't be found in the wild in the games, and they just seem like something bred just to live with humans. A house 'chan would probably be fatter and lazier than one used for fighting ;D.
Funny thing is, a lot of fighting types, especially the humanshape ones, don't look like something you'd find in the wild; Machop I can see living in family clans in the wild, but it looks weird when you encounter a wild Machoke WHO HAS A BELT ON! Where'd he/she get it from?! And the panties. But anyway, with Machoke's great strength, loyalty, and intelligence, I can see it being a good house pet.