Different options exist

Chemical peels act by removing the superficial layers of the skin. Different types are available e.g. Glycolic, TCA, etc...The deeper the peel the more effect you get but also the more risk of having hyperpigmentation or Hypopigmentation.

The eye lid skin is very thin and a lesser concentration is always advised. Different skin types react in different ways to peels. Skin types are divided from 1-6 depending on the degree of pigmentation(one is very fair,six is very dark)

A consultation with a licensed plastic surgeon or dermatologist will give you the best and safest way to proceed.

I hope that helps.