Do you want to take pictures in the dark? In a club or on the streets at night? Most point and shoot cameras like the one above don't perform very well in darker settings. This has to do with the small size of their sensor, the piece of electronics that detects and records the light of the scene you're shooting. In a P&S camera, this sensor can be as small as your pinky nail, and because that sensor is so small, it's not nearly as sensitive to light as a larger sensor would be, causing images taken in the dark to be noisier (kind of like film grain but not as pretty, frankly).
If you are planning on taking pictures in the dark, you either need to use a flash, or if that's unappealing to you, use a camera with a larger sensor, like a digital SLR:
A digital SLR (SLR standing for Single-Lens Reflex; more on that in subsequent articles) has a sensor sometimes as large as a 35mm film frame, and is much much more sensitive to light. They often can be used with what are called "fast" lenses (lenses whose aperture is f/2.8 or greater -- again, more on that in another post) which also help.
No matter where you're using it, though, the camera you have with you is far better than the camera you don't. If a DSLR is too big for you to carry around all the time, you won't have it on you and then you're missing the shot regardless.