IPhone4s and iPhone 5s Differences

Its time for an upgrade for me, and I want the iphone5s but since its more cost than the 4s my parents said its not worth it but is there big differences between the 4s and 5s and I would like help convincing them so could you tell me the difference and if its really worth it?

I have a 5s

It's faster, better pictures video etc etc

Cosmetically better i don't know, if your not the one buying it, jut accept w.e your getting

Http://store.apple.com/us/question/answers/iphone/what-is-the-big-difference-between-iphone-4s-and-5/QFPDJPUJADAXAJDYT

3.5 inches display and 4 inches on iPhone 5s.

5S is far better hardware obviously.