What do you recommend for eczema around the eyes?

Facial eczema: Generally speaking, steroid creams should be avoided on the face to avoid thinning and premature wrinkles. First be sure this lesion is not the result of harsh chemicals. Revaluate your beauty regimen carefully, try Nizoral (ketoconazole) cream first. If it fails, use 0.05% topicort cream for the shortest possible time. Finally, consult a drmatologist.

No nail polish: Most common cause for eyelid rash is contact allergy to nail polish. Rash comes a few hours to days after exposure and can last for weeks. There are other potential cause of periorbital rashes, so you should see your doctor, a dermatologist or an allergist to help sort things out.