Good eyes with the SLR pic, mirek. Pics turn out pretty good! I don't think the noise is that bad in those pics. The dog shot can be improved by not using the built-in camera but instead getting an external flash like the Canon 430EX or 580EXII and bouncing the flash off the ceiling etc instead of straight on the dog; and using selected auto focus point to one of the eyes.
Great pics to start with!