Choosing the best headphones is always a compromise. You could buy the most powerful, noise-cancelling, bass-pounding, ear-smothering units on the planet, but – from the lack of waterproofing to the risk of your ears overheating – they’d be absolutely useless for running.
Bone-conducting models, meanwhile, are lightweight, fit snugly on your noggin, and don’t shut out ambient sounds. Unfortunately, you generally have to sacrifice audio quality (particularly on bass notes) when you’re listening to your favourite tunes.