I also used to use Clinique, but it's gotten so expensive, I found alternatives that don't irritate my sensitive skin. I'm very pale and have those hereditary dark under eye circles too. I start by washing my face with Cetaphil bar soap, then apply the Cetaphil moisturizer with sunscreen.
I switched to L'Oreal Infallible Never Fail Makeup for my foundation. It provides all day perfect coverage and even hides those few stray freckles! It also has an SPF of 18. At Wal-Mart they have plastic cards you put against your inside wrist to choose the perfect color. It really works!
Once I put that on with a make-up applicating triangle, I dab a bit of Mabelline concealer under my eyes then apply a light dusting of loose powder (Clinique) with a large natural brush to set everything. I have perfect coverage that looks natural and blends perfectly with my skin. I highly recommend this for anyone with dark circles and/or splochy skin tones and sensitive skin.
Hope this helps!