I have a friend who uses video editing software to create videos of band performances. He records the sound, and relies on video taken by other people, (he does not own his own video camera). He gets the best material to work with when the camera is set up in a fixed position, and he can do his own zoom, and pan effects, (within reason) with the software.
If you have more than one video camera available, it is a good idea to set one up with the band in the frame, and just leave it run. Then have another camera operated by someone who will take shots from various angles, including close-ups, and the audience.
My friend uses a video editing program from Sony, (he did pay a good bit for it), and syncs it with the audio that he has processed with his DAW. The results are very good, with titles, and such. Fairly professional looking work from a hobbyist. He has been at it for a while, and he has improved as he has gained experience.
If you have access to a video camera with image stabilization for the hand held shots, that will help.
I have attended an open jam session, where a guy uses a few year old Sony video camera (hand held), and he gets some very good material, but it is usually only brief parts, and not a good video of the complete performance. I have seen him hold the camera low, while looking down at the display, and then he will move from person, to person, and shoot footage while standing almost in front of them. They are still very good for showing a short you-tube video to give people an idea of the performer, or the vibe of the open jam, but they are not something that would be interesting to the general public as a raw unedited video.
Here is a link to some videos taken at the open jam session: http://brookfieldopenjam.mobi/videos.php
I think the audio on these was captured by the microphones on the camera. (I was surprised when I found this to be the case).
Anyone who can view a video, and hear a recording of their performance can benefit by seeing how they look, and sound on stage.