How to backup iPhone and transfer contents?

I'm switching from iphone 4, to iphone 5s. How do I save/backup the contents of my current phone? Do the messages, contacts, and photos get saved? If so, how do i do it, and how will I transfer them to my new phone?

You can do 1 of two things:

1) turn on your iCloud for everything you want to be saved to your new phone, then let it back it all up to the iCloud

2) *recommended by me* back up your entire phone to your computer through iTunes. When you get your new phone, go ahead and got restore and you can download everything to your new phone.

Your messages and notes may or may not be saved no matter which one you choose to do, I'm not 100% sure, but I'm positive about the notes not saving. The second option is really the easiest and less time consuming!

Iphone transfer software can transfer any files including music, videos, photos, etc. Between any two iOS devices like iPhone 5s, iPhone 5c, iPhone 4, iPad, ect. In one click.

ITunes.

Backup the 4 & restore from that backup on the 5s.