iTunes can make backup for your iPhone SMS and iMessages, but only feasible when you choose to back up everything on your iPhone (whether you choose or not) at one time.
If you want to selectively transfer, manage and back up SMS without affecting the entire iOS data, DearMob iPhone Manager is the way to Go.
Free download DearMob iPhone Manager:Free DownloadFor Win 7 or higher
To better protect your data, DearMob suggests to back up iPhone/iPad before managing your SMS. In this way, you can easily restore your iPhone SMS or iMessages from previous backups without data loss risk.
1. Open DearMob iPhone Manager and connect your iPhone with a USB cable.
2. Select "SMS" on the main interface, then you can view and choose the text messages that you want to back up.
3.Click "Export" to download the SMS to your local PC.
You can open and view the picture or video in your message, or even directly download it to your local computer.
1. Open DearMob iPhone Manager and click "SMS" on the main interface.
2. Select the photo or video in message, and click "Save" to download it to PC.
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