headphone / headset question!

Hey

Quick question about headphones. So my current situation means I can only game while my daughter is sleeping, so I need to be very quiet.

I had thought of buying wireless overear headphones to connect to my tv. But then seen the game style headphones with the Mic etc. Do these style of sets just connect to the controller and can you hear the game sounds etc or do they connect to your tv also?

Never really used a game headset before and will be upgrading to XboxOne in a few weeks. Wanted to find out the pros and cones before buying something, and also wanted it to do what I’m looking for.

Also wireless verses wired, I normally sit about 2.5m from my tv, is it worth paying more for wireless?

All help appreciated

Sorry this might have been better placed in the hardware sub section, could a mod move if they think so
Cheers