I did restore from a backup as I have been doing since the original iPhone. I know that's sometimes not recommended for optimal performance. I was going to give it more time before trying a fresh install. I'm optimistic that Apple will fix some battery life issues. I've had similar issues with a 4S that was setup as new a week before iOS 7 came out.
I have lots of apps, and don't really do anything out of the ordinary (Pandora, Music, Facebook, Instagram, some games, etc.)
I have been trying to do better with closing apps. That used to never be required, but it seems to help more now. Last couple nights my phone has died on me I haven't closed all my apps, so that could be the culprit as well. We will see how things go with 7.0.3.