This question (iOS vs Droid) is fast becoming a moot point. Both systems are developing into very user friendly OS's. That said, APPLE does maintain much tighter control over iOS. For those who are less technology savvy, this can be a real help. When a firmware update becomes available from APPLE, everyone gets it and it's simple to install.
APPLE products are more expensive without a doubt, but Build quality and materials far exceed the competition. Galaxy S4 is a terrific phone, but it's plastic and "feels" cheap. iPhone 5 feels totally different, and is.
In the end, it comes down to what you want in a phone and how tech savvy you are. Either phone can be a great choice.
In my case, I like iTunes and the fact that everything seamlessly syncs between my iPhone, DW's iPhone, our iPAD and Mac-Book....... All hands-off. It just works! ;-)