*** Use Tripod when taking photos of stationary or slow-moving objects:
* However use of a tripod or slow shutter doesn't work when you are taking photos of people or pets. They usually move within a split second and that causes photos to get blurry with slower shutter speed. To overcome this too, use some faster lens like 1.4, 1.8 or 2. This will help camera take lot more light while shutter is open. Also, more expensive camera's have bigger sensors and a bigger sensor does help with better control of noise. Also an SLR can take less grainy photos with ISO as high as 1600 but a regular compact camera would have noisy images when ISO starts getting above say 400.
(My friend was using a kit lens on his Nikon and I used a fast lens on Pentax to take photos in the same light. Because of a fast lens, my photos had much or almost no noise. Here is one photo: