Linda,
A camera can let it more light when the lens is wide compared to it's length. Think of those cameras you see at sporting events which have HUGE lenses - they are fat to get maximum light in the camera. Contrast this with a miniature digital compact with a lens which is only 1/2 cm across - this tiny lens is often attempting the same amount of zoom, but it can't let in the same amount of glass as something which is six inches across. The subsequent sacrifice is that the speed of the capture is slowed, amplifying the slight tremors in your hand.
Danalec makes a good point about the lag - there is often an annoying 1s+ delay when the shutter is pressed, so holding the camera still for 3+ seconds may help enormously.
Good luck
Rob