There is a very simple way to sync the data from your old phone to the new one. Download and install iTunes (Windows or Mac) then connect the old phone. Click it in iTunes, then simply create a backup of the phone using Back Up Now. Based on the content you have, his might take a while. Secondly, disconnect the phone after the backup is completed and connect the new phone. Click it and then click on Restore Backup . Choose the backup you created earlier and wait for process to complete. All your content will be restored on the new phone.
Download iTunes: https://www.apple.com/itunes/download/