You need to do a couple of things...
1. Replace your battery (About $15 from Amazon.com with toolkit)
2. Turn off the background app refresh
3. Turn off bluetooth
I had 2 iPhone 4s phones that lasted 10-12 hours with normal usage and battery left to spare...both running iOS 7.0.2
I turned off the auto app refresh. I didn't even know that was on. So thanks for telling me that. Hopefully that improves the battery.