How to Move Text Messages to Your New iPhone Using a Mac or PC

- Connect your current iPhone to your Mac or PC.
- Open a new Finder window (on a Mac)
- Expand the Locations section of the left-hand sidebar, if it's not already open. and click your iPhone.

- When the backup is complete, start setting up your new iPhone. When you're asked how to set it up, choose Restore from backup. Connect your iPhone to the computer you just used for the backup and then select the backup. All your backed-up data, including your messages, will be downloaded to the new iPhone.

On the new device:

Connect your device to your computer with a USB cable. If a message asks for your device passcode or to Trust This Computer, follow the onscreen steps.
Select your iPhone, iPad, or iPod touch when it appears in the Finder window
Select Restore Backup.
Look at the date of each backup and pick the most relevant.
Click Restore and wait for the restore to finish. If asked, enter the password for your encrypted backup.
Keep your device connected after it restarts and wait for it to sync with your computer. You can disconnect after the sync finishes.