Remove podcast subscription from iPhone or iPad without removing subscription or episodes from iTunes 12.8 on Mac

Thanks, Sarah. Your suggestion is, of course, on target. I like syncing, just not the loss of podcast episodes on my Mac when I turn off subscription on iPhone. However, I may have stumbled on what I really need. Assuming that iTunes 12.8 still allows control of what types of files are synced (as 12.6 does), I can just select the subscriptions I want for each of my devices using the individual settings of iTunes for each type of file for each device. That is, just as I can choose what music or videos to sync to the iPhone or iPad, I can select what podcasts to sync. I had made those individualized choices so long ago that I had forgot iTunes does that (or at least 12.6 does -- I hope 12.8 still allows that kind of control).

My previous attempt to update (to 12.7) resulted in lost podcasts and lost videos. That is why I am being so conservative with this update (not to mention I still like to control apps using iTunes, which 12.8 no longer allows). However, since I faithfully keep multiple backups, I should be able to avoid that disaster this time around. Again, thanks for your response.

tt - I had already turned off the Sync podcast setting in Store but had forgot to change settings in iTunes itself. Since Apple seems to have repaired app management in iTunes 12.6, I am in no great rush to use 12.8. But I do appreciate the helpful comments I have received on this podcast issue.