Best Way to Grab Movie Clips?

DorkusMasterus asks: "I work for my church in a volunteer sense, and I'm trying to produce a video that will incorporate video clips from films (short, less than 30 seconds per clip, more likely 5-10 seconds), and I am wondering what you fine folks use to grab clips from DVD and TV (in preferably an MPEG or AVI format when completed). Please keep in mind that I am not interested in something that would copy a full-length film, nor am I'm not advocating discussion on how to best pirate films. What utilities would you use to retrieve short clips from DVDs and other digital sources?"