Sony should get already installed an app or function like Move my Data or Transfer Data or something like that. Enable that and follow instructions, it uses bluetooth on both phones after pairing them.
Elsewhere, the longest way is to export your Contact from you web account Hotmail.com in a .xml file and import them to your Experia web Gmail.com account, so phone later will sync data by internet, same as Lumias
sign in using your microsoft or hotmail or outlook account on the new phone and your contacts should sync to your new phone
If you need additional help or have more questions or details to share, please join the site so you can reply in this thread. See this link for instructions on how to join Windows Central.