Fresh Install but keep app progress?

Getting a new iPhone 5s 64gb in the mail tomorrow. My current 64gb 4S is chock-full.

Would like to start over on fresh install with iOS 7 and just install what I redetermine I really need.

BUT - I have a bunch of apps that I don't want to have to start over on, games etc.

Is there a middle ground here somehow?

Also, my iBooks app is well organized with lots of books - how do I retain that with a fresh install?