don't buy a "gaming" headset, Audio Hardware labled with "gaming" is often just overprized bullshit stuff.
Also by buying wireless you'll lose a lot of audio quality and you'll pay a lot more.
A good wireless headset will cost you as much as a verry good headset but will only have the quality of a cheap one.
Also consider to get a seperate mic + headphone combo as this will increase your options and the quality you'll get for the same value.
There are even mics you can attach to your headphone after market, but these are often from better quality compared to all in one combos
I also higly recommend you to test headphones physically, as not every head/ear is formed in the same way, and a headphone that is perfect for me, may be verry uncomfortable to wear for you.
Check if there is some kind of Music Store in you proximity, where you can test some of them.