Follow-up question: Do you advise lip lift or jaw correction to help show my teeth? (Photos)

There are surgical and non-surgical approaches to lip augmentation. Non-surgical approaches include botox (slight lift, reducing gum show) and filler (volume restoration). Surgically, you can have two separate incisions under the nose (italian), one incision under the nose (bull horn), one incision at the red/white upper lip junction (gull wing) or two separate incision at the corners, or a combination, depending on your desired look and anatomy. My preferred surgical technique is called the Elelyft, which is a version of the bullhorn approach. 
The ideal candidate for the Elelyft, or upper lip lift, is someone with a philtral length of 13mm or longer, no upper dental show, and/or a thin upper lip. The nasal base to mouth width ratio needs to be taken into consideration to avoid leaving the lip corners down. 
In your situation, you need a thorough consultation to make sure that lip lift surgery can meet your expectations. 
Consult with an experienced lip surgeon for a complete range of options that are appropriate for your situation.
Gary Linkov, MD
Lip Specialist / RealSelf Lip Lift Medical Reviewer
Manhattan

You need a significant lip lift to show teeth, as your teeth are very high. Make sure you see an expert with a lot of experience in this procedure. 

I recommend a lip lift.  A lip lift does 4 things: shortens the distance between your nose and upper lip, increases the mucosa of the upper lip, increases the incisor show and pulls up the corners.  This may also get rid of the horizontal fold you have when you smile. Best Wishes,Gary Horndeski, M.D.