Wireless headphones, as opposed to Bluetooth ones, normally take their signal from the headphone/speaker output on a computer. (i.e. they plug into the relevant 3.5mm jack socket, not into a USB port). That's then fed to a transmitter unit, which sends a signal to the headphones.
It's worth paying a bit more than the lowest available prices for some decent quality wireless headphones, in order to get some which
(a) are really confortable ;
(b) have a long life for the rechargeable batteries in them. (Some of the cheapest models might only work for a few hours before they need recharging) ;
(c) have really good audio quality. (Some cheaper ones might be very 'tinny' with their sound output) ;
(d) have a decent range. (I can wear mine anywhere in the house, or even quite a way down the street, and get a perfect signal) ; and
(e) have a volume control built into them (so that you don't have to keep going back to your computer to adjust the volume).
I bought a pair of Sony wireless headphones over a decade ago that were amazingly comfortable. (They can be worn for over ten hours continuously without even the slightest discomfort). They also hold a charge for around 14 hours before needing recharging and the sound quality is superb. Eventually though I found that they wouldn't charge as well as they used to, so I simply replaced them with exactly the same model. (I reckon that over 10 years of daily use before anything goes wrong represents decent enough quality!).
These are the heaphones that I use
https://www.argos.co.uk/product/2473666
(Several other ABers, including Woodelf, use them too and everyone seems to love them).
However, being a skinflint, when it came to replacing my headphones I looked around to see if I could get them any cheaper than mainstream sellers, such as Argos, and noticed that there were several eBay sellers offering them as 'opened but never used'. I decided to take a chance and purchase from one of those sellers. The headphones I got were clearly brand new and work perfectly. (The packaging suggested that they were ex-display models from a store within the Dixon's group, probably Curry's/PC World). So you might also like to consider going down the same route to save a few quid. This eBay seller has 100% positive feedback:
https://www.ebay.co.uk/itm/Sony-MDR-RF811RK-Headband-Wireless-or-Cabled-Headphones-Black/383589817725