Bluetooth can work fine if you don't use something a lot, but headphones are the kind of thing you may wish to use for extended periods. I've never seen a BT device that isn't massive that has any staying power. Like I have a Plantronics Voyager Legend. This is a new, high end, and fairly large ear piece. It curves over your ear and has a unit that sits behind with electronics and a sizable battery in it. For all that, it is lucky to get maybe 6 hours of talk time fully charged (which will only get worse as the battery ages). Less if you use the high quality audio mode.
That's not great, and that is for a bigass part. You take something small, like the Earin phones one of our students has, and it is a bit over an hour if you are lucky. On the other hand my little Shure earbuds will work as long as the device feeding them will. Despite the cord, they are actually no larger to carry than the Plantronics earpeice as well. Oh, and they work with my computer, my phone, my receiver, and so on with no fiddling, just plug and go.
I don't hate BT audio devices, but earbuds have good reasons to exist.