I was just wondering about how you upgrade iPhones?

I want to know how you transfer all your data from your previous iphone to a new iPhone.
In my situation my family has a computer with a but load of music, pictures, etc and I take/sync the certain things I want and put it on MY iPhone 5 Now how wouldu upgrade to let's say a iphone 6 and only transfer everything from only that iphone.
Not From iTunes or iCloud or anything.

Simple, I connect to itunes and backup, then connect new phone on setup.