SERIOUSLY, you claim to be asking members of a sex/erotica website for answers about what to do with a rooster living in your dining room? SO... lets put this into language that this site typically uses!
1) Accept that YOU MUST BE A SUBMISSIVE!
2) Accept that YOU ARE LETTING A ROOSTER, (otherwise known as a male chicken) TO CONTROL AND RULE YOUR LIFE AND HOME!
3) Accept THAT YOU ARE ALLOWING AN AVIAN, CANINE BESTIALITY RELATIONSHIP? You may be poly-amorous, but shouldn't you protect your dog, from this rooster! When this dominating male chicken inevitably "flies the coop", for another dog, or flock (chicken language for chicken harem), leaving your pet "poor Lily" devastated and heartbroken? Don't you try to protect your girlfriends from the "wrong men"?
SOLUTION!; YOU MUST BECOME A DOMINATRIX! This male needs TOUGH LOVE! Do not abuse the bird, but you MUST control him! I suggest he be banished from the house entirely! NO NOT TO THE DOG HOUSE WITH A STUDDED COLLAR! A small coop with one hen perhaps separated at first but within sight. BE TOUGH! STOP TRYING TO TRAIN HIM TO DO TRICKS AS A HOUSE PET! HE DOES NOT DESERVE THIS TREAT! TRAIN HIM FIRST TO "ACCEPT" his real home! Feed him well, he'll eventually accept his lot in life! DO NOT GIVE IN! He'll eventually become used to his mate also. Once you remove the physical barrier between them, and he satisfies his sexual frustration with the hen, he'll probably want a threesome or more! He is male after all! SPECIAL NOTE: YOU MUST ACT DECISIVELY IF THIS COCK TURNS INTO A DICKHEAD! IF THE ROOSTER ABUSES HIS MATE ONCE THE SEPARATION IS REMOVED, .....YOU MUST REMEMBER,......WHAT DO YOU DO TO A DOMESTIC ABUSER??? THROW HIM THE HELL OUT! OR YOU CAN DO WHAT MANY THINK SHOULD BE DONE TO AN ABUSER... CUT OFF HIS BALLS THEN ROAST HIM! GO ALL THE WAY, WITH BONDAGE TURKEY NAILS AND BONDAGE BUTCHERS TWINE! THEN GRIND IT ALL UP, ADD SOME OTHER ITEMS THAT TRANSFORM HIM INTO a great DOG FOOD recipe! Feed his ass to his FAITHFUL EX, 'Poor Lily! HE DOES NOT DESERVE to have YOU SWALLOWING HIM!
After all that, you should write up the story for the next LUSH STORIES Dominatrix story competition!
This is all just a suggestion. Being male, I would never assume it is my place to tell you what you should do!
(BTW, I love this site!)