I record using a brio500 (i mainly chose it because of the design and the neat physical privacy shutter tbh, it's not that great of a camera)
The logitech one you wishlisted is probably fine, the other ones too, they probably won't be as good as your phone (most webcams in the sane pricerange aren't) but one thing I recommend is going into lighting, as even a small keylight or something that elevates you from the background does wonders for better tracking. :)
Logitech C920 is still the goat for budget streaming tbh. Been using mine for like 3 years and it's solid, usually goes on sale for around $50-60. If you can stretch a bit more the C922 has better low light performance but honestly the difference isn't huge
I've been using a webcam on an adjustable arm mount that clamps to my desk - way cleaner setup than having stuff hanging off your monitor. The Logitech C920 or C922 work great with those cheap boom arms you can get on Amazon for like $20-30. Just make sure to get one that's sturdy enough so it doesn't wobble when you type
AhimiVT
