I am self-conscious about my chin/ jaw for as long as I can remember. However, I have no idea what procedure to research (Photo)

The chin projection can be improved by diminishing the chin projection. This can be accomplished with a reduction genioplasty or chin shaving. An office or video consultation would needed to give you better guidance. In addition, I would recommend simultaneous submental and jawline liposuction. 

Rest assured most people don't see it, or if they notice something they can't put their finger on it. Secondly, in my practice, when I show patients pictures of other people with facial asymmetry they find it hard to see it unless I point out specific features. Regardless, there are several ...

Ptosis means hanging down. The implant is not hanging down, rather the lateral ends or "wings" of the implant are being pulled up when you smile. There are possible reasons for this: the implant is not seeded correctly. The implant has a lip that wraps over the margin of the mandible. It is p...

Dynamic changes that occur when people animate (contract facial muscles) are difficult to change. It is best to seek improvement for conditions that are present without animating. However, you might want to consider some botox to selected muscles to diminish theireffect when you smile. 

A sliding genioplasty would improve your facial balance and provide a permanent solution to the recessive nature of your chin. Fillers are another option but they are temporary and will need constant maintenance. You might want to try the fillers first to see if you like the look.