For moving playlists I would recommend the use of an external tool, such as playlist-converter.net - this would allow you to login to your existing account, and duplicate the playlist to another account.
You would just need to:
Unfortunately, this only duplicates playlists to the new account, not followed playlists, artists, saved songs, etc. from the old account. You would have to do that manually.
As of right now, there is not a feature within Spotify to clone an account, but this external tool may help with the playlist transfers.
I hope this helps!
Have an awesome day!