Q: Apps don't appear on new Iphone?

Hello Bearky,

Congratulations on your new iPhone 5s!  I found some articles that will help you get your apps on your new iPhone.

This article will guide you through transferring information from your old iPhone to your new iPhone.  I recommend trying the steps in this article first if you have not already.

iOS: Transferring information from your current iPhone, iPad, or iPod touch to a new device

http://support.apple.com/kb/HT2109

If you have already tried these steps, I recommend downloading the apps directly to your iPhone from the app store from your list of past purchases.  Follow the steps under the section titled "iPhone, iPad, or iPod touch>Apps" in the following article:

Downloading past purchases from the iTunes Store, App Store, and iBooks Store

http://support.apple.com/kb/HT2519

Thank you for using Apple Support Communities.

Best,

Sheila M.