I must say it is not as easy to make the transfer as it seems at first sight. I migrated from my old iphone 4 to a new iphone 5s a few weeks ago.
What I could transfer was:
1. contacts/notes via this: http://goo.gl/oqEGNM
2. calendars - via Exchange
3. Bookmarks - this was done directly via my Google Chrome on my PC and
I had grave trouble when transferring SMS text messages - this is virtually impossible between iPhone and iPhone 5.
Music too is a pain to transfer, especially as iTunes does not support any non Apple devices.