Is there a way to keep my bottom lip from curling up and covering my bottom teeth when I smile? (photos)

Thank you for sharing your question and photographs.  If your lower lip rises as a result of overactive mentalis muscle function a small amount of Botox placed into the muscle may weaken it sufficiently to allow your lower lip to not elevate as much.  See an ASPS board certified plastic surgeon in consultation for the best recommendations.

This is a tough one. Fillers won't help. Perhaps a small amount of Botox in the orbicularis oris muscle will help. Don't expect significant change. Botox can make the smile smaller easily but wider is harder.