What can I do to get rid of my under-eye puffiness due to hypothyrodism?

Lower lid puffiness. Cool compresses, serum skin tighteners, facial filler injection, laser skin treatments, lower lid blepharoplasty.
Blepharoplasty. First, make sure your thyroid levels are regulated. Next, make an appointment with an oculoplastic surgeon--they may recommend lower lid blepharoplasty.