I tried Google Podcasts for the device-to-device sync option, then Google made the discontinued announcement.
Been testing Pocket Cast and PodVerse for sync feature. Pocket Cast currently appears to be free (they do have a Premium paid option), while PodVerse (FOSS) is $18/year. Else I will stay with AntennaPod (FOSS) - no easy sync option, and just use on one device. That is my story.