Note 3 or S4 from an iPhone 5, help please

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http://forums.androidcentral.com – Hi all, I have been browsing these forums for a few months now deciding whether to jump from iOS. I now know I want to but can't decide between the note 3 or the s4. The poor battery is one of the main reasons for leaving iPhone and I have read that the note 3 battery life is awesome but with the s4 there seems to be more and more threads popping up about poor battery life. Is the S4 better than iPhone in any of your experience? Also, the size of the note 3, I have played about with one I store and as surprised as it didn't seem as big as I expected but due to the holder it was in I couldn't (HowTos)