Hyperthyroid cat is no longer a comfort to my 2 dementia wards. How do I get rid of him?

Have him put down if he is suffering. That would the humane thing to do. The cat served you well working as a living plaything and comfort to the two demented wards you provide for.
It deserves better than to be dropped off at a shelter that doesn't want it to begin with because it is not adoptable in such a condition.
The animal is your responsibility. Don't pawn it off on a shelter and make it theirs because you don't want to care for a sick animal. Put it out of its misery.

“Get rid of him”. Wow. Could you be more heartless?

Some of the answers here are practically evil. Why is it so hard for people to realize:

1. Animals have emotions
2. Animals feel pain
3. Domesticated animals need love
4. Pets know when they’re being abandoned by their so-called “owner”
4. Pets aren’t objects you can buy and toss when you’re tired of them or they become too much work.

Veterinary care is the first choice followed by rehoming the cat (friends, relatives, neighbors who understand "special needs" pets). If these options are not feasible, surrendering to a "no kill" shelter is the responsible thing to do and the shelter would take care of the medical situation. Once your cat is stabilized, they will seek to rehome the cat. Sounds like he served you and your residents well, so do all you can to help him in his time of need.

My shelter offered owner present euthanasia for 50 bucks, about the same as their surrender fee. The process would happen in a peaceful secluded room decked out with a couch and unlighted candles.

Surrendered animals with this health prognosis would typically end up the same way in a room that wasn’t that nice with strangers that only knew it by its animal number.

If he has kidney problems meds will not help in the long run. He/she will end up having renal failure. Because he pees a lot, he may already be in renal failure. My daughter dealt with this for a year. One can of special need diet was $5.00 and her cat would not eat it. She tried working it into his reg food and as soon as it got to 50% he wouldn't eat it. She had to have him put down a few months back.

I would take him to the vet and see where he stands at this point. Maybe the Vet can come to you. My nephew is a mobile vet. It will be up to ur charges if he is out down.

In response to Margarets post.

In response to the comment about the Amish. Its just notjust the Amish its farmers in general, I have found. They cannot have an animal that is not pulling its weight. Chicken doesn't lay eggs anymore, goes into the pot for dinner. A cow can't breed or give milk, she is butchered. A dog can no longer hunt because he has no smell...

IMO this cat has a medical problem which he will need to be put down for. This Caregiver needs to make the Vet aware that the 2 ladies are no longer able to care for the cat. Caring and cleaning up after this cat is not the Caregivers responsibility. And in no way should another animal be brought into the house because the ladies cannot take care care it and the Caregiver should not have to.

I had 4 cats over 37 yrs. One lived to be 18yrs old, 2-16yrs old. The last one had anxiety problems and peed constantly. Meds helped but did not cure. After she passed we said no more animals.

Ask the vet to do a full exam and refer him for the radioiodine treatment to cure the hyperthyroidism.

Generally it is HYPOthyroid animals that sleep a lot, so I am surprised. Any animal in a state of HYPERthyroid tends to be jumpy.
I am sure it is impossible for us to tell you what to do with your pets. Is this your first pet?
Do consider discussion with your own vet.
I wouldn't do a shelter; most are terrified and then pts. Especially a sick animal.
Myself, if an animal cannot be helped due to age or illness it is a mercy to have them gently put to sleep in your arms. I have always been with my animals at the time of death, and wouldn't have it another way.

I grew up with males cats. They often get stones and have kidney/urinary problems. Depending on your cat's age, it may be treatable (if it is young) but it needs to happen right away, like at an emergency vet -- but who will be paying for it? This is a practical consideration. If it is an older cat, I would opt to put him down humanely and asap -- he is suffering.

If he's a tired old cat who is ill and miserable, take him to the vet and expect to have him put down (the vet may have better ideas that we don't know about). A case of "well done thou good and faithful servant," I'd have thought, a cat who deserves a painless and dignified end.

And if you yourself like cats and are happy to take one on, get the ladies another cat.