Iv got the Playstation Pulse, Wireless headset, and its really cool! Great Audio, I would highly recommend you look into it... Its got a dongle you plug into the PS, that sends the wireless signal to the headphones to get rid of interference, and i must say i haven't had any problems... Its also got a wired option if thats what you prefer...
Bare in mind, what ever you buy, as mentioned above, you are going to need to buy an adapter to use it with the x box one, unless its the official x box one headset... And the adapter alone will set you back +- R500...
I had Tritton Pro's and they were absolutely brilliant for 'Gaming' headphones. So I am sure they will be bringing out their PS4, Xbox One range soon. Keep an eye on them. Highly underrated in South Africa.