Summarize the following:
The Music app allows you to shuffle any of your playlists, artists or albums. This will display your music library. Tap the "Playlists," "Artists" or "Albums" section of the Library screen, then find the item you want to shuffle. You can also search for artists, albums, or playlists by using the Search tab in the lower-right corner of the screen. This will appear at the top of the track list for the album or playlist. This will shuffle the artist, album, or playlist's contents.

Summary:
Open the Music app. Tap the "Library" tab in the bottom-left corner. Tap the album, artist, or playlist that you want to shuffle. Tap the "Shuffle All" button.