Cats live where they please; wild cats [not feral cats]may have dens
Dog = kennel
Rabbit = hutch [wild rabbits = burrows/warrens]
Cows = cowshed/byre
Horses = stable
Hens = henrun
Ducks = no particular name but could be shut up at night in a hutch.
Goats = shed
Lions = do not have specific places as they move around their territories.
Monkeys = the same as lions.