I did something like this when I was playing around with online karaoke using Zoom. Try this gaming headset. I think it worked well, and the price is right.
Cocar Gaming Headset, Bass Enhanced Headphone for Playstation PS4 PSP Xbox One Tablet iOS iPad Smartphone Free Adapter Cable for PC with Mic Noise Cancelling Black, GM-1 Blue
Here is another I tried and it worked well but a bit pricey.
https://smile.amazon.com/gp/product/B07D3N7JTY
This worked OK and can be found pretty cheap on Ebay
https://www.amazon.com/Turtle-Beach-Amplified-Headset-Discontinued-Manufacturer/dp/B005EQE0YM
Because of latency issues I don't recommend bothering with anything USB based.
You want these
https://www.amazon.com/dp/B07D3N7JTY/ref=cm_sw_r_cp_apa_i_mvZtFbC3T8TVH
Great sound and mic.
You can use them for normal music from your phone or whatever.
The headphones need to charge though, but it's never been a problem for me. They are also wired.