@katie @Antanicus ACTUALLLY! what would be EVEN BETTER! is headphones with jacks! Some more expensive ones already work like that. That is: the phone part has a jack slot, and the wire has two jacks, one on each end. So you can easily replace the wire, no soldering required.
Also: Beter! Cables! Now! There are some headphones that have spiraled cables, like the kind you find on wired landline phones.
They are thick and bendy, I doubt they would break easily.