I was using a third party podcast app my iPhone, but with iOS 13, I decided to Apple Podcasts another shot. I did this primarily because native iOS apps tend to work better with CarPlay than third party apps.
I also started using Apple podcasts on my iPad, Mac, & Apple TV. I turned on syncing on all devices, but I typically only want to watch video podcasts on my iPad, Mac, or Apple TV. I subscribe to the video version of some TWiT shows, but I have them set so that they don’t download. I created a station called Video, includes all podcasts & set Media Type to Video.
So far, it’s working nicely. I never used podcasts on Mac before because it was buried in the iTunes application. Now that the Mac has a standalone podcast app (with Catalina) I enjoy watching video podcasts on the Mac too.