The wireless type that goes around your neck in one piece is superior while carrying loads, strapped to a bag, or twisting around. It tends to stay put or fall on your shoulder. You don't want to put the wired or wireless earbuds back in after they get yanked out and touch the ground.

Though that's easier to prevent with a wire you can clip to your shirt.

Actually, I prefer the old cheap style over-the-ear headphones regardless. Sometimes one pops up in a discount store, likely old stock getting cleared out.