When Polli came off the farm, her underside espeically around her nipples had a lot of blackheads. I squeezed and I also applied a warm wash cloth and let it sit on her for a few minutes and I would then, just gently wipe with the wash cloth which acted like an exfolient and now she has none! My others don't have any.
ETA- Eye boogies, all the time, especially my Birman cats!