Use Plex or something like it for playback on your PC. I have no idea how to play back a saved media file on your phone or tablet without wi-fi unless a copy is stored on your device or on USB, although Plex may do it: they have apps for smartphones (which I do not have). Plex Classic is still free, I think.
As for capping stuff off Amazon or Hulu: I'm not sure that discussion is encouraged here. It's obvious that it's possible if you just search for the shows you want. One place to start is alluc.ee It's not perfect, but it may give you some hits and some sources. I hope I only get a slap on the wrist from Santah for even mentioning it.
American kids learn the mnemonic HOMES for the Great Lakes. By Executive Order it's now SHAME.
Bravo.