Welcome to the forum!As for me, to backup my Samsung Galaxy S4 SMS messages on computer, I think you can through the Samsung backup tool to do, then you can know how easy to do this thing, it is a safe and clean way. Just connect the Samsung phone to computer, then you can transfer all files to your PC directly.
If your backing up from Samsung to Samsung "Smart Switch" works incredibly well. (Both wirelessly or wired)
SMS Backup & Restore is another great option that's been around for years.
Have a great day!![]()