Nearly all CCD cameras for amateurs are meant to be used in conjunction with a personal computer. The first thing to point out about the chip is its small size. At first, one of the hardest things to do is to get the object on the chip. These things are highly sensitive compared to film. With CCDs, shorter exposures are required to capture fainter objects.
Digital images lend themselves especially well to image processing.
We've all seen the wonders that NASA does with image enhancement, like fixing the flawed HST images. This is probably more of a scientific advantage than one for amateurs, but, basically, in CCDs, a star that is twice as bright produces a signal that is twice as strong. Small size also makes it hard to locate your target. And you can't look through the telescope to focus while the camera is mounted unless you purchase an expensive flip mirror adapter with a parfocal eyepiece. CCD pictures aren't pretty.