Storing clothes in airtight containers such as cedar chests or in bags that have been sealed with tape is effective at keeping moth larvae out. 

However, if clothes were packed with even one egg, larva, or moth hidden under a collar or cuff, the moth larvae will eventually have a feast. This is why it is so important to clean your clothes before you store them.

Articles to be stored can be packed in tight-fitting containers with mothballs or flakes containing Paradichlorobenzene (PDB) or Napthalene. Neither PDB or Napthalene will repel clothes moths or prevent them from laying eggs -- the vapors from these materials are lethal to clothes moths, but only when maintained at sufficient concentrations. In order to achieve these levels, the vapors must be tightly confined with the items you wish to protect. Naphthalene is not very soluble in water, so it is difficult to remove by washing. It would probably be wise to dry-clean any articles that have been stored with mothballs before using them.

A method often recommended for repelling moths is the use of various herbs and scents. Unfortunately, cedar chips, dried lavender, peppercorns, cayenne pepper, eucalyptus leaves, and hellebore do not repel clothing moths. This is not to say that clothes should not be stored with herbal sachets. They do add a nice scent. Just don't count on them alone to repel moths.