Cheap Rog Strix Go 2.4 Wireless Gaming Headset for PC, Switch Only £129.95
I suspect this deal won't be for everyone due to the price premium over wired headsets but it's a fairly well reviewed (from what I can find) wireless gaming headset.
It covers pc, switch and PS4 wirelessly and can do 3.5mm audio via cable as well.
There are both an inbuilt mic and a boom mic if you prefer.
It also has USB C fast charging.
It should also be compatible with other usb c devices via the adapter, e.g. android phones or MacBook etc.
Next best price I could find was Amazon at 149.99
25 hour battery life and also a 15 minute for 3 hours quick charge