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You can transfer them to your pc for backup in case of lossing them.Or if you want to transfer them selectively, you can use backup tool.
Hope this can help you, give it a try, backup sms android.
And for contacts, export android contacts.
In fact ,you can export text messages from android to your Gmail account. It is so simple, however, there’s no good reason not to do it. Thanks to Samsung Backup, a professional and easy-to-use program, you can easily transfer text messages from Android to PC all by yourself.
Use a data backup tool, you can freely save text messages to computer, and transfer other data like contacts, photos, memos and more to pc for backup.
There are lots of users asking the question how to backup text messages. Since the text saved in the internal memory, we have to rely on some professional tools like Android transfer, mobile manager.
Nobody and no software can directly transfer messages from Android to PC, but Mobiledic Android manager can do it, it can scan all the saved data on your Android phone and backup to your computer.