Instead of using a lint shaver, try using a block of pumice stone. Those nasty tiny pills, and small specs will disappear onto the stone. It's easy to clean the stone that once helped the rough spots on your feet.
While getting ready for the fall and cold months ahead, my electric blanket was matted with small knots and pills all over. I folded the blanket into 4 quarters and used my pumice stone in these small amounts. It didn't take long before the entire blanket was pill free and looked almost new again.