I had the iPhone 5, got it when it launched on the first day.
Then got the Samsung S4 when it also came out. Looking at both phones, the good things of the iPhone:
- Easy to use, simple interface
- Huge app store
- I found typing and browsing on the iPhone 5 to be much better
And then you have the S4's good bits:
- Everything else which I did not mention above
I hope that sums it up for you
And don't get me wrong. I am writing this from an iMac, I own all the Apple products, and I love them as a company
but this time Samsung got it right and they made a better phone.