What is this puffiness around my mouth and how can I get rid of this? (Photo)

I do not recommend trying to remove any fat from your face since this will just age you more quickly. You could get some skin tightening with micro-needling and radiofrequency like Secret.

Dear Polite890858,
it is hard to tell for sure without an examination. If you are considering surgery, I would suggest you consult a board-certified plastic surgeon. Only after a thorough examination, you will get more information and recommendations.
Daniel Barrett, MD
Certified, American Board of Plastic Surgery
Member, American Society of Plastic Surgery
Member, American Society of Aesthetic Plastic Surgery

Facial aesthetics especially in young people it’s almost exclusively determined by bone structure.
The shape of the facial skeleton is what determines what someone looks like whether they are masculine, feminine, attractive or not so much.
Soft tissue coverage of the facial skeleton a test to be quite consistent from person to person and it’s not the determinants factor for each person is unique look and appearance.
Signs of aging are different story and aging is highly related to have soft tissues respond to age and the aging process.
Sometimes there isn’t one simple explanation or one simple treatment but rather a combination of factors and variables.
Generally issues relating to the lower 1/3 of the face sort of from the corners of your mouth down to your neck is mostly related to the shape and size of the mandible. people with projecting large men do both typically have very prominent and attractive well defined jawlines.
When did mandible is short or lacks forward projection people often develop an overbite occlusion, a premature double chin, lack of jawline definition. In your case if you follow the contour of your lower lip down to your chin you’ll see that it drops back quite a bit creating a sulcus under your lip after that it projects a bit. This is all based on the shape of your bone structure.
You keep seem to be said forward a bit and both your mandible and your maxilla and at the same time the body of your mandible if someone short. The tip of your mandible or the mentalis a.k.a. chin does have its origin is still a bit far back. both your upper and lower lip come together nicely on profile pictures so your dental occlusion is probably pretty normal.
Attempts and correct meaning this with soft tissue manipulation is probably going to be met with disappointment because the problem is based on your facial bone structure.
I’m guessing most providers will suggest fillers but will be someone uncertain of how or if it will work.
When problems are not severe or straight forward then cranial facial surgery becomes excessively extreme and that something people consider.
My best guess is he will not get a lot of providers responding to your post because there is no straightforward easy answer to your question.
Likewise if you have consultations expect to get a variety of different explanations none of them which carry any definitive certainty with them.
Best,
Mats Hagstrom MD