Quality Jupiter trumpet mouthpieces in a variety of sizes.

By far, the 7C trumpet mouthpiece is highly recommended for beginners and is also popular among advanced players.

Other opinions suggest that once the student can play from low C to the higher notes without excessive effort, the next logical step would be to move up to the 5C trumpet mouthpiece. 

Another sentiment is that the beginning trumpet player should use the mouthpiece that came with his instrument until a change is recommended by a teacher or other professional.