Hard-boiled eggs typically store well in the fridge (peeled or unpeeled) for up to 1 week in an airtight container or Ziploc bag.  Do not store your hard-boiled eggs in the freezer as the egg white will become rubbery and inedible. If you want to freeze hard-boiled eggs then rather remove the cooked yolks and freeze those in a Ziploc bag for up to 3 months.