Do you have toric lenses for astigmatism correction? They need to be rotated to the correct position in the eye (to compensate for the uneven lens of the eye), so if they shift a bit out of position things will look a little blurry until they move back (which they normally do by themselves). That's the only thing I can really think of right now, but it's not supposed to happen just because you blink! For me it usually happens if I rub my eyes too hard.
I remember when I first got my lenses, the first month or so I constantly had weird issues (apart from general irritation, my eyes were rather sensitive to them), I still don't know what the problem was but eventually it went away. Every now and then they will switch a bit out of position or something, but nothing like the problems I had at first.
If your eyes get dry you can try some eye drops they usually sell with lenses, I don't use them, but some people like them. If my eyes get irritated I usually just take the lenses out and rinse them in saline solution and put them back on. Always remember to wash hands before handling lenses.
So, I don't know why they do that when you blink, but it may pass.. if not, ask your optician.