I found a pretty good list of tips for shooting better video. This list is excerpted from a new book (one I didn't write).
- Get a closing shot.
- Get an establishing shot.
- Shoot plenty of video.
- Adhere to the rule of thirds.
- Keep your shots steady.
- Follow the action.
- Use trucking shots.
- Find unusual angles.
- Lean forward or backward.
- Get wide and tight shots.
- Shoot matched action.
- Get sequences.
- Avoid fast pans and snap zooms.
- Shoot cutaways.
- Use lights.
- Grab good sound bites.
- Get plenty of natural sound.
- Plan your shoot.
You'll find details for each point in the list in the online article... I just post the list because it's a good checklist for those just getting started (or getting forgetful).
Check the article out here – http://www.peachpit.com/articles/article.aspx?p=1625679&ns=20263&WT.mc_id=2010-10-14_NL_DigitalVideo