Spotify is simply better. Spotify hands down has a better app, interface, and features added every couple of months. Not to mention the incredible slew of human made, hand-picked playlists that Spotify recommends to me based on my listening habits. There are those that swear by Apple Music, and that's fine. I'm delighted that they love it. But Spotify was already so far ahead when Apple Music launched that I don't know if Apple Music can catch up. The Apple that we used to know consistently was late to market, but always had a superior product. However in this case, Apple Music was late, but in no ways better than any of the competition. Apple Music is simply as good, or worse than the competition.
[doublepost=1462830826][/doublepost]
FWIW Spotify now gives you a "Library" which pretty much works like iTunes/the default music app. If you like a song or album now, just hit "Save" and it is saved to your library, along with all of your other music. Of course, playlists still exist if you prefer that route.