Just got my new phone6 yesterday. My Contacts are in tack but I wanted my Msgs. transferred too. How can I do that.iPhone 6
Text messages? Voicemails? If you're askingn about texts then if you backed up your previous iPhone either via iCloud or iTunes then your texts should transfer to your new iPhone if you restore that back up on the new one. Voice mails should also restore as long as you're remaining with iPhones.
Two links that may help.
http://support.apple.com/kb/PH12519?viewlocale=en_US
http://www.macworld.co.uk/how-to/iphone/transfer-text-messages-from-one-iphone-another-3525410/