I have never found a good book that covers this subject well. Here are my thoughts on the subject based on my experience.
1) Use a tripod whenever possible. Even with image stabilization, handheld video tends to wander a lot.
2) Don't zoom while you are shooting. Ever. Well, OK, occasionally it can be useful, but it's pretty rare. Next time you watch TV or a movie, watch how often they zoom - it's very infrequent. Zooming should be used more like a special effect than as a normal part of shooting.
3) I very rarely watch recently recorded video. It is always more interesting when it is old. Because of that, record things that will be interesting to you when a lot of time has past. I find that usually means recording family and friends rather than places. I love watching video of my kids shot 5 years ago. Watching video of a geyser, a beach, or a fireworks show is much, much less interesting.
4) Take more video at home. I love looking back at normal life rather than just seeing a progession of vacations and special events.
5) Save your original footage, but make edited versions that are designed for watching. Cut, cut, cut and cut. If I shoot an hour of video, I expect to have 10 minutes after editing.
6) Shoot knowing that you'll edit. Start shots a little early and hold them a little longer. That gives you more room on either end for making cuts.
7) Consider getting some good external mics. They aren't cheap, but they'll last a lifetime and they'll really improve your audio.
8) Consider getting a steadyshot type device so that you can move the camera while shooting. You'll never be as smooth as the dollies that they use for real TV/movie production, but you'll be a lot better than the Blair Witch stuff most people get.
9) Don't just shoot a bunch of unconnected stuff. Think about the story you are trying to tell and make sure that you get the video you need to tell your story.
10) Many of the same photography rules apply. Use a polarizer. Pay attention to the lighting. Don't drop your camera in the water.
Here are some video projects that I've done, plan to do, or at least think are worthwhile:
1) Interview your kids. Sit down and do a talk-show like interview asking them about their current life (friends, school, hobbies, etc) and their dreams for the future (what will you be, what will your spouse be like, etc).
2) Put together a movie that shows a typical day in your family's life. Wake up, have breakfast, go to work/school, show your school/office, have dinner, do what you do in a typical evening. This also makes a good photo project.
3) Make a tour video of your home. Record each room, what you do in it, and what is in it. Record what is significant today - your TV, your game system, your car, your computer, etc. This may sound really boring, but wouldn't it be neat to see your home from 20 years ago this way? What about your parents home from 40 years ago?
4) For a Disney trip, record some of the planning activity. Record the journey to WDW. Record a few minutes of interviews each morning before you head to the park about what you are looking forward to, what you expect, etc. As you take in each attraction/ride/show, take a minute to record your comments about it afterward. Record a few minutes of wrap up at the end of the day. At the end of the trip, record a few minutes of trip wrap up. Now, instead of a bunch of disconnected video of rides and shows, you have a complete story.
5) Record your parents/grandparents. Have them tell stories about their lives when they were younger.
In general, think about the things you wish you had from times and people in the past. Record those things so that people in the future can see them.
