to reduce the apperance of under eye dark circle , you could try using a concealer that adapts to your skin tone, but as the day goes by you can sweat and the make up can smudge making your dark circles visible again. If you want to get rid of them not cover them then getting alot of sleep and drinking enough water will hydrate your skin and can help the puffiness under the eyes a little bit, but as for the dark circles they are hard to get rid of ounce you do have them. I suggest that you try a collagen eye mask to brighten the dark circles and leave your eyes refreshed and awaken them. I used Eye Rid a collagen Q10 eye mask that really helped me at clearing up the dark circles and wrinkles, and instantly remove the puffy eye bags that you get in the morning.
I hope this helped you out, and good luck