I want to fix my smile - big teeth, small lips - what's he best way to fix this? (Photos)

You have a lovely smile. However, the ideal proportion of upper lip to lower lip is 2:3. Yours is nearly there, but the upper lip is a bit recessed. You could augment your upper lip with Volbella to get a very natural and beautiful new shape and proportion. However, it is normal for your upper lip to “disappear” when you smile — this may continue even after your augmentation, provided you want something natural looking. Consulting with a board-certified dermatologist will allow you to learn more about how Volbella or another hyaluronic-acid based filler can give you the beautiful lip proportions you desire. 

You should start out with 1cc of juvederm filler or restylane filler and go from there. You do not want to overdo too much filler in the lips. It also depends on the look you are going for too. You can always add more filler to the lips if needed. Just remember if you are going to do your lips and you do not want to bruise you should not take any aspirins or anything that will thin the blood since brusing can occur. One syringe is typically $550.

Thank you for sharing your question.  Personally I think your teeth look to be well-proportioned and your lips maintain average overall volume.  Based on your narrative I would advocate for incremental addition of a hyaluronic acid base dermal filler to add volume to your upper and lower lips until you achieve a size that you feel better approximates your goals.  Hope this helps.