I have a bunch too!
When I was younger, I used to slather moisturizer all over my face, including under my eyes, and I guess it was just too thick n' rich for the delicate skin under my eyes. But now the damn things won't go away even though I've been so careful to avoid putting moisturizer under there! I have a few good eye creams now, but they don't get rid of the little bumps, and I'm wondering if they are making it worse.
(Milia are little pockets of protein and dead skin that have closed over themselves and become hard as rocks. As far as I know, those little bumps are trapped under the skin. So, to get them out, you’ll need to have a professional like a dermatologist or aesthetician extract them. You can do it yourself, but I wouldn't suggest it because it can result in scarring.)