If you're looking for a really good headset, you may need to expand your budget slightly.
Turtle Beach do a great wireless headset (Stealth 400), but it does require a PS4 with audio out (the launch models, and the Pro). I found the fit to be a little tight, especially when wearing glasses but I have a giant head... lol. They're about £60-70, depending on
where you go. (Stereo, wireless, over ear, £60-70)
If you don't mind a wire plugged in to the controller, I'd highly recommend the recently released
Astro A10s. They're £55, have a really comfortable fit, and they sound fantastic. They also come in a range of colours. (Stereo, wired, over ear, £55)
I have both headsets, but the Astros currently get my vote. They also work on Xbox One and PC (though you need to buy the PC specific version from Astro directly in order to get the adapter, the price remains the same).
Hope that helps