Yes there is, check the related links section. I found a site that does what you're looking for.
you blow in the mouthpiece by buzzing your lips
No, people who play the clarinet are not kissing it. They draw their bottom lip tight over their lower teeth, drop the chin, pull the corners of the mouth in tight, kind of like a rubber band around the mouthpiece. This is called the "embouchure."
you buzz into the mouthpiece and it makes the instrument vibrate which produces sound
Not necessarily. Teeth tend to become more crowed as we age, especially the lower front teeth. This happens in some people regardless of whether they have wisdom teeth or not. Therefore, removing the wisdom teeth, solely for the purpose of hoping to get naturally straighter teeth, won't work.
The best way to remove a mouthpiece is with a mouthpiece puller. Most music stores will have a puller, and some will even pull mouthpieces for free. You will get a lot of other suggestions on how to pull the mouthpiece. The problem is, if you use pliers or other inappropriate tools, even with padding of some kind, you can damage the trumpet. The only relatively safe way to try it yourself is to hold the trumpet's mouthpiece tube (ahead of the mouthpiece) under the hot water tap for a couple of minutes. While doing this, hold a package of frozen vegetables, or the like, around the mouthpiece. The idea is to get the mouthpiece as cold as possible, and the pipe as warm as possible. Then, using a hot pad, try to extract the mouthpiece. This may or may not work (it does most of the time) but if it doesn't, it causes no harm to the trumpet.
to repair or bring out a teeth Dentists, are people who are specially trained to treat peoples problems with their teeth, so they would repair your teeth if it needs to be, and they will treat various diseases relating to the gums and teeth, and they will remove your tooth if necessary.
Try to tighten your lips a little and if that doesnt work try to adjust the mouthpiece
People who have lost most of their teeth and may have trouble chewing their food can affect their digestive process. It can cause the organs to not work correctly.
A reed. Single reeds are used on the mouthpieces of clarinets and saxophones.
Operational reasons do not allow dentist to work on their own teeth. It is obvious
Any Bach mouthpiece. I have been playing with them for years and they have never let me down. Trumpets do not have a built in mouthpiece because not all mouthpieces work as well as others for different people. There are many very good mouthpieces. The best mouthpiece is the one that fits your mouth the best. IE: If you have thin lips, a deep/wide mouthpiece probably won't work well for you. If you have thick lips, a shallow/thin mouthpiece probably won't work well for you. Bach, Schilke, Monette, and several other companies make very good mouthpieces.
Anne Frank is the first to allow Mr. Dussel to work on her teeth.