Are their any short clips/videos online where it shows how technology affected us socially, morally and as a family?...
There are two posted by The New York Times video news department that may be useful. The first is a short video news story about an expelled Rutgers student, Ravi, who was sentenced (lightly) for his part in a classmate taking his own life. No technology is expressly referred to but spying was involved so technology can be inferred. This can be confirmed by reading details in a print news story reporting on the event.
The other is a story of a man who works for BreakingNews.com in New York and scans emergency airwaves for breaking stories of shooting, fires, and other high profile breaking news that is then reported by news sources. In the video he is surrounded by many kinds of technology. How this affects family or society can be extracted by analyzing the effects of these kinds of news stories.
I found a few videos which may attend to what you are looking for. For the most part, the videos seem to be more about global issues and societal issues.
I always like to show this awe-inspiring clip to my students about the exponential growth of technology and its over-whelming presence in our lives. Even though I feel that it's almost getting dated now (two years old), and I wish they would make a new one, I still use it to strike a point with my students.
The video is called: "Did You Know? We are living in exponential times"