New iPhone vs iPod for running?

I can't decide whether to get a newer iPhone with more GB storage for music or to just keep the one I have and get just the iPod. I'm wanting to use this for running and music. I currently have the iPhone 5 16GB, but with picture and a little music I'm full. How does the newer iPhones compare with battery life to the 5? My phone is constantly dead without me even using it throughout the day. Would the battery be okay to get the new phone or should I just get a ipod and only do music on it?

5S has a much better battery, but thats true with all hardware on it. When I'm running I use an ipod shuffle (obviously far smaller size but also nice because its so little for jogging) because I don't like carrying my phone with me as its bigger, could get rained on etc

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