I have the IPhone 5 and my Dad have the Galaxy S4. Personally, I like the IPhone 5 better. It has a better camera and it is A LOT faster! When I use his phone, it seems glitchy (if you know what i mean) also the keyboard is not accurate (and i have small fingers) It all matters if you like apple products... But I think you should get the IPhone 5!!
I personally like the iPhone better cause its what I'm used to, but they both basically have the same capabilities so you should go to a store like best buy and try them out and see which one you like better