Bluetooth headphone transmitter reccies please?

Quick question as above?

Most of my AV digital stuff is through my AppleTV,
at night I’ll Bluetooth my Sony XM4s to the AppleTV to watch a movie on Netflix or whatever.
Out of luck though if I want to watch a bluray or listen to a CD though?

The Sony’s are great sounding headphones, be good to use em for that too?

My preamp has a headphone out,
Figure I could get a Bluetooth headphone adapter/transmitter I could plug into headphone jack of my Pre and connect over Bluetooth to my existing Sony headphones?
Something like this:
https://m.media-amazon.com/images/I/..._AC_SX679_.jpg
Seen these on EBay and Amazon,
but don’t want to buy crap that will break after a few months, and they all look a bit “Ali Express”?

Anyone using one of these and have a recommendation?
Assuming if they use the same Bluetooth standard (5.0 and above) there shouldn’t be a sound quality difference?

Or is there a better sounding one for whatever reason?

Just if anyone does something similar already and happy with their gadget.
Thanks for any info. :)

Just thought of a curveball…
can connect the Sonys up using a lead, but would prefer wireless.

*EDIT*
Its a standard 3.5mm headphone connector, and after a bit of reading on wired vs wireless for these headphones,
used wired they run analogue, so sound quality depends on what’s feeding them.

Ive a good Dac/Pre, and headphones apparently sound better that way so wired it is then.
It’s just for occasional watch a bluray or listen to a CD at night anyway, so running a wire isn’t a problem.

Sorted.