Try a Tripod

I know this tip won't be for everyone, but everyone can at least consider it. Tripods are great tools. Ever notice that socket with threads in it on the bottom of your camera? That is where the tripod attaches. I suggest using a small and portable tabletop tripod. You can obtain one of these for under twenty bucks. A tripod will keep the camera absolutely still when you are shooting in low light, such as street scenes at night. Photographers have traditionally used cable releases when shooting from a tripod. A cable release is a cable that is screwed into the camera's shutter release and allows the photographer to trip the shutter without shaking the camera. Your point and shoot camera probably doesn't have a place for a shutter release. That is not a problem, because what you do is use the self-timer to trip the camera. The delay of the self timer will allow the camera to stop resonating from any vibrations started when you press the shutter. However, if you need the shot at the exact moment, such as when that butterfly finally lands on that flower, you won't want to use the self timer. In these situations, you must be very delicate when pressing the shutter button. You can do it; it just takes practice. For either method a tripod will steady your camera and enable you to get a sharp photograph.