They were quite pricey, but I’ve been very happy with my Steel Series Wireless Arctic Pro headset which I got a couple of years back.

It uses a base station, but runs a proprietary wireless protocol which can do very high quality bidirectional voice.

Comes with two batteries, one can charge in the base station while you’re using the other. I swap it each morning and lasts the day fine.

I also chose it based on its aesthetic choice of not looking garish like just about every other gaming brand headset.

They can also be used over Bluetooth too, but will be lower voice quality in such cases.