I Have a hyperx cloud flight (the first ones), very light, in arch based distros the range is pretty big (in mint and pop, for whatever reason, the range is abysmal), they work with no caveats on linux (though no battery report, there's a script or two floating on the internet to have it with no hassle). I'm sure there are better options these days (better battery and sound quality), but these are the ones I have experience with.

They're not my first choice in audio, but they did so much for me when I had my kid, you can drop in and out of your pc without needing to remove your headphones, they don't block much so you can even listen to the baby crying if you're at a low volume (or you can just have one ear out), you can hang out in calls while holding the bb, etc.

For any new parents out there, can't tell you how much they did for me, in particular the combination of

• being for PC (no latency, being able to get in and out of your gaming sessions or whatever you do without even having to take them off)
• having a decent quality microphone next to your mouth (you don't need to raise your voice and can be heard easily despite background noise, good signal to noise ratio)
• not being that good at blocking sound, this is crucial when you can't compromise your full attention but can have most of it.
• being light weight (I know there are some wireless headphones that are bulky and not that light).