I have a wireless PS4 controller, bought a £15 bluetooth dongle and it works flawlessly.
I wanted an XB1 but the lack of wireless (as yet) support and the smaller size of it made me switch.
Wouldn't native controller/game support be better though? that's why I got the Xbox controller, plus the impulse triggers are a nice touch, don't mind plugging mine in via usb for now anyway.
why not buy a steam controller ?
http://store.steampowered.com/app/353370/
£40
likely much better than xbox one if the 360 controllers lack of precision is anything to base that on