This is what I have. They're not currently in stock, but there are lots of similar ones out there. It's not the greatest gadget I've ever used, but it's the best I've found so far for bedtime podcasts.
I do the same. After switching to a headphone-jack-free phone, I got a Bluetooth headband with speakers in it that's specially made for sleeping. The sound quality is pretty poor, but I'm only using it for podcasts and it's fairly comfortable (more comfortable than earphones for me).