Here are some less known options (may be obvious) to improve your iPhone 5 / 5s battery life.Turn off Location Services
You might only need this on Google Maps to help you with navigation. Other than that I don't see much use of it on any other app. Many use the check-in facility on Facebook but caution here, Facebook location service is a battery hog.
- Settings / Privacy / Location Service - Turn of for as many apps as possible.
It turns out that the work your phone does to reload these apps into the phone's RAM is more draining on the battery than keeping them in the RAM if they are already there. iPhone does a good job of managing what is actually running. Seeing these apps on double-clicking the home button doesn't actually mean they are running.
Turn off AirDrop
Swipe your finger from the bottom of the screen, click on AirDrop and select Off. When you're not using it, its best to turn it off.
Turn off Automatic Timezone
Unlike some your daily commute might not span different time zones. You can turn this feature off and manually change it to the new timezone.
- Settings / General / Date & Time / Turn off Set Automatically
Turn off Background App Refresh
Turning off as much of the Background App Refresh as possible is a good idea.
- Settings / General / Background App - and turn off as many apps as possible, or all of them.
In the midst of all the turn-off(s), here is something you can turn on. iPhone does a good job of adjusting the brightness so that it isn't unnecessarily bright when it doesn't need to be. The display is one of the most power consuming facet of your phone.
- Settings / Wallpapers & Brightness / Auto-Brightness On
Turn on Reduce Motion
This will take away some of the pretty animations in iOS 7, but I'm just staying true to the purpose of the post.
- Settings / General / Accessibility - and turn Reduce Motion to 'On'