If you’d instead not like to charge your iem or would like better sound fidelity for similar price, see Best IEM (Earbuds) and Portable Headphones, or for over-the-ear Best Gaming Headphones, Soundcard, Speakers
Best True Wireless Bluetooth IEM
For exercise, IEM are best.
Sony WF-1000XM4 $280 [Amazon] The absolute best. Beats out the Bose QuietComfort.
True Wireless means there is no wire between the ear buds.
Don’t get: Bone-conduction headphone – comfortable but bad quality sound
Best Wireless Bluetooth Over-the-ear Headphones
Wired is always better quality sound but bluetooth over-the-ear can be very convenient. At home, speakers are ideal but these can be great for TV or PC usage without disturbing others. We would hesitate to bring these out of the house, as they are pretty nice.
For gaming, see Best Gaming Headphones, Soundcard, Speakers
Best Noise-Cancelling and Best Value
If you travel a lot and absolutely need noise-cancelling (ones above have better sound quality):
Bose Noise Cancelling Headphones 700 $380 [Amazon] – slightly more accurate sound signature than the Sony equivalent 1000XM4 .
Best Wireless Headphones. Period.
Hifiman Ananda BT $1000 [Amazon]. Unfortunately, not very good build quality and it is open-air so you will bother other people nearby. We recommend speakers or the closed-ear option above.
Sources: Head-fi.org Huge Comparison