Can I restore my Iphone to a new one?

I had an iPhone 4S ios 6.1.3 and now I have an iPhone 5 ios 6.1.4 and I was wondering whether I could back up my 4S stuff onto my new phone? Thank you

Added (1). I want to know how to get my ios 6.1.3 stuff onto my iPhone 5 that has ios 6.1.4. If I restore my old stuff from iCloud or iTunes it'll set my iPhone to 6.1.3.

It restores the iPhone to the factory settings

Back up your iphone on itunes from old iphone then when setting up new iphone use the back up data for setup.

It's that simple

Can't you use iCloud?