Reilly wants to know how to backup his text messages to his computer. For iPhone, PhoneView by eCamm is the way to go. For Android phones, SMS Backup and Restore by Carbonite gets 4 1/2 stars, which is pretty impressive. It will back up his messages to Google Drive or DropBox, and it's free.
What's the difference between SMS and MMS? Leo says that SMS is text, MMS is media/images.
(Disclaimer: Carbonite is a sponsor)