Wired earmuffs, in-ear earmuffs (built-in memory card, wireless)
Personally, I like to wear wired running in the gym and do it with my bare hands, because I am not afraid of falling. I wear wireless devices to do all kinds of things. If I pursue sound quality, I will choose earmuffs to block noise.
If I run at home or outdoors, I will let it out, and no one can take care of me.