Wireless mic for home office

I’m working from home and most of the time, I wear a cheap headset (Epos PC 5) which serves me just fine. I don’t like to wear bigger headphones all day, although I do have some proper ones in my arsenal…

I’d love to use my speakers all the time but the mic of my webcam isn’t that great and it will pick up lots of external sounds. Noise cancellation is working pretty good in MS Teams but still, it’s not perfect.

So what are my choices here? Would a lavalier mic be a good choice or will it pick up much more noise than my headset?