You can start getting your music by adding your favourites to My Library! All you have to do is look for the three dots menu to the right of the song name > Click on Save to Library. For Albums, Shows and Playlists, you can head to the details page > click on the three dots in the top right corner > click on Save to Library to save it.
Tip: You can also set up a Quick Action to add things to your library in one tap. Simply head to JioSaavn app settings > Quick Actions.
To delete any song or album, simply go to the Liked Songs/Albums > click on the three dots > click on Remove from Library.