1. Agressively treat the underlying Grave's disease with an endocrinologist.
2. Don't smoke
3. See an oculoplastic surgeon to discuss lid surgery. The U of Michigan medical school department of ophthalmology is excellent. See if Bartley Frueh (spelling?) is still on the faculty there.
Do you have a recommendation for an oculoplastic surgeon specializing in Graves Eye Disease in Los Angeles, CA?
Any of the Medical Schools will be able to treat it. You can look for an oculoplastic surgery near you at www.aao.org