I own a Canon 450D with just the standard lens kit that comes with it (poor so won't be buy a new lens for a while) and one thing I tend to struggle with is shotting in lower light conditions, indoors and out.

When we have people over I try and document the party with my camera, most of these photos are taken inside the house however even on the lowest f/s 3.5 for my 18-55mm lens the images tend to come out blurry and out of focus.

I have heard increasing your ISO works well but then you have the problem of noise.

Is increasing the shutter speed and overexposing a good idea for these situations.