If you're keen on trying Apple Music for free but are reluctant to leave your favourite Spotify playlists behind, then the Move to Apple Music app for OS X might just be a big help.
While it's perfectly possible to do the playlist copying over yourself, the app automates most of the process, giving you more time to, maybe, create new playlists. Or explore the expertly-curated ones by Apple Music staffers.
It also helpfully creates playlists in iTunes from the imported ones from Spotify and the service also supports imports from Rdio.
Download the app for US$4.99 if you're so inclined. It's currently an OS X exclusive, sorry people on Windows.