What audio output has your TV. If the usual headphone jack, go to your favorite electronic shop for a heathphone jack-X adapter, that's compatible with an X-headphone, with X being for example bluetooth. But it could be that your TV has only optical out. I didn't check, since you know.

An important detail: volume control. In some TV's the normal speaker is silenced when you use the headphone jack, in others it just goes on. And it's not always the case that volume control on your remote controls the headphone volume, and certainly not the digital sound output. Not all user manuals mention those details.