Been using a wireless Xbox 360 controller for years. I use it for everything (inc Battlefield 4, Titanfall etc)
Am certainly at (small) disadvantage playing first person shooters but they are less 'twitchy' than the days of Quake III Arena/Unreal Tournament now anyway.
But for Third person games like Assassins Creed, Arkham City etc or driving games like Grand Theft Auto IV/V they are much better IMO. The fact that you have analogue control over running speed, steering, acceleration, brake etc makes all the difference.
One caveat is that I play all my games in the lounge on my main TV, from the comfort of my sofa. Not sitting at a desk using a PC monitor.
Some people hate them, I think they are great. I barely touch a game unless it has full controller support.
If MS release the Xbox one controller with a USB Wireless dongle thing you might as well get that as it is slightly better than the Xbox 360 pad (IMO) with features such as force feedback triggers and better deadzone, but I think it's £69.99 which is a mental price.
If you have Bluetooth capable motherboard then you could use a PS4 Dualshock 4 but they don't hold their charge for very long.