Agreed about shutter speed.
I don't like handheld shots below 1/60s, personally, and I really try to abide by the rule of minimum shutter speed being twice the focal length (since I shoot with a DX sensor). For example if my focal length is 50mm I want my shutter speed at, or above, 1/100s. The reason for this is that just as a zoom lens magnifies everything in your frame, it also magnifies camera shake and vibration.
So again, in short, here are the golden rules I try to abide by:
1. Shutter speed = double the focal length.
2. If I can't follow #1, nothing handheld at less than 1/60s.
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