Best way to grab movie clips (not full films)?

DorkusMasterus writes: "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 or something. I'm not advocating discussion on how to best pirate films. But I'm looking for a fair-use clip ability kind-of thing.

So what are your ideas?"