The Mouthpiece

The mouthpiece creates the crucial connection between body and instrument, transferring vibrations from your lips to the horn. Finding a mouthpiece that is a good fit for your body can make a big difference in the ease with which you play the instrument.
The rim is the point of contact, and will have the greatest effect on the comfort of the player. The two variables are the width and the shape of the rim; some are more rounded, others are more flat. Manufacturers employ a number to specify the rim width. Some manufacturers use a higher number to specify a larger cup; some use a smaller number, based on Vincent Bach’s original system. You’ll need a comparison chart to compare a mouthpiece from one manufacturer to another. Still, that’s only a starting point; you’ll have to see how they feel on your lips to really know the difference.
Cup volumes are specified by a letter; usually the further down the alphabet, the smaller the cup. (‘B’ is larger than ‘C’). Or, a manufacturer may use specific designations such as MS for medium-shallow. Larger cups may produce a deeper, more resonant tone, but make it harder to create the fast vibrations needed for high notes. Smaller cups typically produce a brighter sound, and may make it easier to play higher notes.
The throat and backbore affect the blow resistance of the mouthpiece. Some players try to improve a mouthpiece by drilling out the throat. I do not recommend this. The result is unpredictable, and you destroy a carefully calculated balance determined by the mouthpiece maker. For determined do-it-yourselfers, make sure you have a spare, in the rather likely scenario that you make things worse, rather than better, with your Black & Decker.
Mouthpieces are usually made from brass, plated with silver or gold. Gold generally feels smoother on the lips, although some players find it too slippery. Some mouthpieces are made from plastic, which will not feel as cold on the lips when playing outside.