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You can probably only hand-hold a camera down to around 1/30 of a second at best. After that movements from your body will take the sharp edge of focus off of everything. With many automatic digital camera settings, you can’t be sure what shutter speed you’re shooting at so using a standard tripod, a flexible “Gorillapod” tripod (shown here “hanging” on the back of a chair), a mono-pod like "Monostat’s Unipod", or other camera-steadying technique and tool such as an arm and shoulder-mounted “Bush Hawk” is essential. You could also use a bean-filled bag, gyro-stabilizer or clamp-on style camera holder to shoot from. When shooting long-range, telephoto or macro, close-up images, camera stability can be especially critical. You must be diligent, doing all you can to eliminate camera shake.
Also note: in some places like museums and indoor exhibits, you can pay a small fee that allows you to use a tripod.