Use a tripod, or some kind of stabilization (monopod, gorillapod). Anything to hold a steady shot. Nothing is worse than shaky video. Good looking handheld shots take practice.
A small sized tripod will be worth a million if you plan to be in your trip report shots. While I've never acted on it, I've wanted to something similar: find a quiet table in the MK, set up the camera on a table-top tripod, sit around and run-down the day's events, panel style if possible.
When going hand held, don't work the camera like a firehose, sweeping the lens from one shot to another. Establish a shot, press "record", and hold the shot for several seconds longer than you think you should. The best things are said or done just after you stop recording.
Take the time to know and learn the video controls of your camera. This way, you won't have to think much when trying to get a shot of the action that's unfolding in front of you.
MrHub said: "Make sure you push the "record" button!". So true. Many people shooting video have gotten confused with their record button "pushes", and were "stopped" when they thought they were "recording", and vice versa. Needless to say, they were disappointed later.
I look forward to seeing your reports!
JPR