Try not to squeeze them so you don't bruise your skin, than apply Visine to the spot. It is supposed take the red out temporarily. I have tried it a couple of times, it is no miracle cure but helps.
Also, try using a facial scrub to remove dead skin. I use Clear n Smooth, its a good facial cleanser/scrub. I've tried Proactive, but it was just to much to keep up with on a daily basis.