Get to know the features on your camera, first of all. Utilize the macro setting(s) as well as ways to create a dramatic depth of field (aperture priority/f-stop/etc.) If you're trying to take pictures of fast-moving objects, you're obviously going to need to use a faster shutter speed, which will require more lighting. Understanding the relationship between aperture, shutter speed, lighting, etc. goes a long way! Tripods do help, too.
Above all, take LOTS and LOTS of photos, because you're more likely to get at least one that you really like.
