Ok, I love what you guys are doing.
Here's a couple of tips for you. Unless you use a tripod don't give the camera to to the shakiest person in the world.

When you shoot a scene set up the shot first so the camera doesn't have to move around to frame the shot after the action has started. If this happens even after rehearsing it, just shoot it again.
I think there is a theme running through this and that is keep the camera still at all times. Unless there is a needed pan of course.
The final thing is to shoot the same scene more than once from different angles and distances so you can cut from a long shot to a close up during editing.
Keep going and keep having fun doing it.