How to transfer all my music and album art onto my new IPhone 5?

I just got a new IPhone 5 and i just wanted to know how to i transfer all my music and playlists onto my new phone. I want to transfer the music from my IPhone 4 to 5. If i back up my whole IPhone does that include music? Also i have lots of album art will that be saved under the backup?

First off, I would back up everything to your iCloud. Once you have done that, I would connect your iPhone 4 to your computer and put it all in your iTunes account. I know this is redundant, but I would rather you back it up twice in case something happens. Now that you have transferred everything from your iPhone 4, you can then plug your iPhone 5. Once you have connected the iPhone 5, you can start transferring everything from your iTunes account to your new phone.

From what I can remember, your playlists should all transfer from one phone to the other. If you have shuffled the songs in the playlist, they may have gone back to being listed by artist. There's also a setting in iTunes that will look for all the cover art.

Hope that helps!