With no specific model, here's a tutorial on a 9mm p:
You'll need cloth wads, wire brushes, cleaning solvent and gun oil, blah blah blah. All of these can be found in a good gun cleaning kit available at your local sporting goods store (e.g. Academy). Buy good parts as opposed to a pretty case, and use a nice tackle box to store them in; don't (trust me) get suckered by nice cases and crappy hardware. Note that brushes should always be brass at hardest; anything harder will mess up your rifling, not to mention foul your bluing (if your piece has any).
Take the time to enjoy the process. Smith & Wesson firearms are of excellent quality and if you take proper care of your nine it will be in your family for generations. As it should; my .357 is my father's police issue revolver, and outside of myself, only my wife can fire it.