How should I store eggs in the refrigerator?
Keeping Food Fresh by Janet Bailey says:


  Keep stored eggs covered. Eggs readily absorb odors from, and lose
  moisture to, the air circulating in the refrigerator. The best
  container for them is the carton you bought them in. Don't use the
  open egg racks in the door of the refrigerator. The rack is too warm
  and unprotected.
  
  Store eggs with their broad, rounded ends up. This position helps the
  chalaza keep the yolk centered in the white, away from the air pocket
  where it might encounter unfriendly bacteria. The rounded end of the
  egg is also less likely to break when accidentally bumped.
  
  Don't wash eggs before you store them. If they have been coated in
  oil, you would be washing away that valuable protection.