How to put my Spotify playlist on my iPhone?

I have an iPhone 4S with Spotify installed (I have a free account) and I want to put my Spotify playlist on my phone. I thought there was a way that I could put the songs I have starred inside the Spotify app on my phone, but it won't work for me. I can't figure out how to do it.

Please help:/

Thanks!

Added (1). I'm logged into my Spotify account. There's an option to sync my music, but that's where I get lost.

Added (2). Oh, nevermind. When I click "Playlists" inside the app, I can see the music I starred but I can't stream it because I'm not a premium account.

I tried this before they updated the app, but not on the most recent version of the app. Spotify devs must have just fixed it.

Log in to your Spotify account through your iPhone app. It should transfer all of your saved songs over to the Spotify app on your phone. Let me know if that doesn't work.

The only way you can get spotify to stream playlists from your phone is with spotify premium. I have it and think its totally worth it!