Notes,

This is what I use to record my eConcerts and quite a few live gigs as well back in the good old days before covid:

https://www.logitech.com/en-us/product/hd-pro-webcam-c920

However I do not use the mics on the camera, I use my existing stage mics through a mixer to OBS.

Then just download free https://obsproject.com/download if you have not already. OBS gives you many format choices for your video and will also give you an opportunity to greenscreen. If you would like to see an example I can send you a link.

Also if you would like me to answer any questions DM me and I'll send a phone number.

Have Fun!