OK, there are many different ways to approach your current setup.
Wired vs wireless isn’t that much of an issue as you can get very affordable Bluetooth adapters for your computer.
Also the goal of what you want your headphones to do is going to come into play here as well because you may want a stationary setup vs mobile.
Then there’s the microphone requirement…
Actually rather than fill an unrelated thread with headphone advice I’m going to DM you.