I've been unsuccessful responding with words of either product families or links to articles that seem to get stuck in a screen and get blocked so I'll try another way.

First - no worry about sound quality. TV programming, whether by cable or streaming, generally don't have high quality sound. A DVD does better but it isn't something to worry about. So long as the TV source isn't old and decrepit, the TV doesn't matter either.

A newspaper website, a paper whose location gave rise to a square near Broadway, has a subsite where tech products are rated. Check that. I also found reviews on another that concerns itself with gizmos and gadgets.

A family member has a set from a German company whose name starts with an S and has a double "n" in it. The popular product selling site that has prime customers says it's out of stock. Also listed there is a more moderately priced product from a Japanese company that starts with an S, also known for electronic products and TVs. That one might be worth trying too.

I have Avantree : https://avantree.com/medley6018-wireless-transmitter-headphone-set-for-tv

They were highly recommended by another poster here. I am sorry I don't remember their name. Love them. Very soft and comfortable on the ears and good sound quality. I often use one earpiece so I am still hearing my soundbar and sub-woofer. It gives me back the higher pitched sounds I was missing and makes all the speech crystal clear. Make sure you check all the outputs on your TV and the inputs on the transmitter for compatibility with whatever model you choose.

Sennheiser is what DH uses. It has a head set that recharges from the unite that is connected to the tv by little cables. He has had this thing for years and it is still working. It recharges from being mated with the unite. Presumably they have fancier things than he has. I would look into their products based on it working perfectly and still working now. It wasnt particularly expensive.

Thank you for the suggestions. I will check them out. The TV is in a cabinet above the fridge so there's little room for anything else up there...that's why I was thinking that batteries in the headset might be better.

Some styles have a battery powered transmitter too if you do not have easy access to an outlet for that part.

I found a review that recommended Avantree for seniors Model HT5009 maybe.

https://smile.amazon.com/Avantree-Wireless-Headphones-Bluetooth-Transmitter/dp/B07MKBGH2V/?pf_rd_r=D50J2P708FG8GMGP7MNH&pf_rd_p=396c0314-c1f6-41c2-b37b-91540c07423f&pd_rd_r=42a7045e-487b-4b69-b77a-67ff897d03f6&pd_rd_w=39V1c&pd_rd_wg=vTALV&ref_=pd_gw_ci_mcx_mr_hp_atf_m#

My bet is that that a large percentage of customers for these products are those with hearing loss and very many as a consequence tend to be older individuals. I'm not so sure describing a product as "for seniors" is any distinction.

The product linked uses Bluetooth, which has limited bandwidth and so likely a lower sound quality than other similar products that use a different RF frequency/standard.

As far as power supply is concerned, the TV needs one and so one must be available in the cabinet.

For many of the products, the base station is also the charging station for the headphones. WIth a TV located in a cabinet, that probably would be a feature to avoid.

The Avantree ear buds are more comfortable than the stethoscope style that puts constant pressure to the ear and make it ache. There is an equalizer button for full sound or clear speech options. I dislike a full headset as it blocks out other sounds like the driveway alarm or phone.

Another solution would be to buy a Bluetooth transmitter (under $50) to connect to the TV, and pair it with a one ear phone-type bluetooth device (~$30), as made by Jabra (for one)

I have a pair by Insignia purchased at Best Buy I believe. I wear them all the time so I don't disturb my daughter when she;s working. I love them. The earphones to sit on a stand when not in use to recharge.