eye makeup primer-gel creamer remover
Before you go to bed, remove every trace of makeup carefully. You have just one pair of eyes. Take good care of them. The skin around your eyes is expecially fragile. You need a gentle eye makeup remover that removes the primer as well as all traces of mascara, shadow and liner, without damaging your skin.

Laura Mercier Gentle Eye MakeUp Remover 100ml/4oz
Mild yet effective cleanser Perfectly sweeps away makeup without leaving residue Comforting botanicals soothe & calm eye area Leaves eye area feeling clean & fresh Suitable for sensitive skin & contact lens wearers Dermatologist tested

Rimmel Gentle Eye Makeup Remover
Rimmel

Neutrogena Extra Gentle Eye Makeup Remover Pads
Neutrogena
Eau Thermale Avene Gentle Eye Make-Up Remover
Eau Thermale Avene

Naturally Gentle Eye Makeup Remover 75ml/2.5oz
If you have oily skin, go for a gel makeup remover. You don't want to clog your pores around the eyes either. Here are some great ones to try.
NARS Makeup Primer With SPF 20 & PA++
NARS
Skindinavia Face & Eye Makeup Primer
Skindinavia
Skindinavia T-Zone Makeup Primer
Skindinavia
LORAC aquaPRIME Oil Free Makeup Primer
LORAC aquaPRIME
Or you could try oil-free eye makeup remover to prevent those little bumps from appearing around your eyes from the use of too rich eye makeup removers.