So, I don't know a whole lot about phones.
So I am asking if any of you guys could fill me in with and what phone I should purchase and why?
The price difference doesn't matter
S3 is a good phone but lacks so many features that the Nexus 5 has, such as 1080P display, Quadcore Snapdragon with 330 Arduino Graphics, Inductive Charging, and stock Android to boot. If anything I would be comparing the Nexus 5 to the S4, but that phone is still pretty pricey of you are looking for a non-contract device.