I should add that I’m not sold on AntennaPod, Podfetch, and GPodder. I think AntennaPod is a great app and I hope I can use it to do what I want here. Podfetch seems nice, with room to grow in terms of features and Ux. GPodder seems pretty terrible (though I hardly know it) but also seems to be the defacto standard in syncing podcasts and play-states (or perhaps the only game in town?).

But I’d ditch any or all of them if I was able to sync podcasts and play-states between devices. My only caveat is that the solution needs to be FOSS and self-host-able.