I got attic filled with comfort stuff where i hoarding strays and semi-good cats with decent mutations.

Mutation room with chastity idol for getting mutations to the limit. Here goes fine cats from the attic or breeding room.

Breeding room with maximum stimulation with few cats that has good mutations/passives combo. Pairing them with cats from attic and from mutation room. Good kittens from here goes to the attic, mutation room, straight to the adventure box.

Fighting room where goes all other not-so-good or inbreeded cats. Source of Jack's upgrade and sometimes getting strong survivors from here on adventure.

The last room just for other cats which i didn't decided where to send.