I grew up with film SLRs (full-frame, of course), and the rule of thumb was "the slowest shutter speed you should try to hand-hold is 1/your lens focal length in mm." e.g. 1/50 sec for a 50 mm lens.
Every good photo begins with the right exposure. Even if you catch a great subject at the perfect moment with strong framing, everything is lost if you blow the exposure. If you only shoot in ...