Is it Cigar Bloom or Mold? Bloom refers to the slow rising of "essential oils" to the surface of a cigar. It first shows up as tiny (almost microscopic) crystals on the surface, and can eventually make a cigar look slightly "dusty" with a whitish finish on the surface. Not only is it harmless, some prefer to see a little bloom, as an indication of strong taste.
Mold, however, is a fungus, growing on overly humidified stogies. It is recognized as white, gray, or blue-green "fuzzy patches" with a definite dimension to them. Mold spreads by spores, so it's important to get rid of any moldy cigars immediately, before they contaminate your other cigars or the mold gets into the wood of your humidor. Mold appears when the RH passes 85%.
Saving the moldy cigars is going to be tough. Wipe off the contaminated cigars (contaminated ones only! - don't spread the mold!) with a clean paper towel, slightly moistened with distilled water. Separate the contaminated cigars from the others. Smoke the others as soon as possible.
Make some kind of temporary humidor for those contaminated ones. Put it in the refrigerator. (yes, it's okay - refrigeration will dry them out without a source of humidity.)
Be sure to clean and disinfect your humidor so this does not become a recurring problem.
Cigar Worms: Worms are an unfortunate part of the tobacco world. They are more common than most smokers think. They are sensitive to temperature, and may start hatching when the temp is held over 75-80 degrees.
Despite cigar manufacturers' best efforts at fumigation, we've all probably smoked cigars with worm eggs in them. If you're concerned, the best thing to do is to freeze your cigars (yes, it's okay even for premium cigars) for a minimum of 3 days in an airtight container. Thaw slowly - one day in the refrigerator, one day in room temperature (still sealed) and then one day in a properly maintained humidor.