A great buzz makes for a great tone. An unfocused airy buzz makes good tone-production harder. Simply place the mouthpiece so that the center of the lips can freely vibrate. Anchor your corners, and direct the air straight into the hole in the mouthpiece. Focus the best buzz possible. Your goal is purity on your mouthpiece first. Then just add large doses of artistry.
Now using as little pressure as possible, buzz one note at a time, eliminating extraneous fuzz from your buzz. Go for the core of the pitch, the most resonant sound you can muster, always with minimal embouchure effort. Hold mouthpiece with only two fingers and one thumb, no fists. Air pressure must be greater than arm pressure.
Begin with sirens, slowly glissing up and down, pausing briefly on the lower and upper pitches. Remember, no junk, no stuffy questionable notes, just well-centered pitches, nothing less. Developing a soft response will be more helpful to your embouchure than just belting and blasting. Learn finesse and control in soft first.
Next, buzz short simple tunes, college fight songs, Christmas carols, etc. Keep the whole song well supported with a steady air stream. Each note must be clear and exactly in tune. Modulating cannot happen. Check with the piano often to ensure stable pitches. Notice how clean the tone is on the piano, starting instantly and not wavering? Copy that.
Determine that any eavesdroppers will be mightily impressed by your buzzings. Your listeners must admire the clarity of tone you are able to produce with just a four-inch piece of metal!
Daily conscientious buzzing will greatly improve your ear and your sound. Check with your mouthpiece often during the day. Whatever the passage, you will be able to control it when you can buzz it.