Welcome to Android Forums, NicPad.
Spontaneous shut-downs often occur with the use of task killers, especially the "advanced" type that work in the background; it's a good idea to get rid of that if you've got one installed, or to at least configure it to run on demand rather than in the background.
The first course of action I would take after a camera failure would be to clear cache and data in the camera application manager (menu > settings > applications > manage applications), then reboot the device.
After that I'd go through all syncing apps and widgets and configure as many as I could to update/sync manually, no "auto sync" for very many at all; some sync loops and crashes have been traced to too much syncing going on at once.