Is the honey flow over and you don't expect to get any more ?
You must store them protected from heat and sun and water.
Store them with PDB moth crystals . I place an aluminum tray on
top of the frames of the super and sprinkle the PDB crystals on the
tray. They will disinergrate over time.
From the Mann-Lake Site:
Para-Moth® Wax Moth Control
Para-Moth® is used to control wax moths in stored supers. Place 3 oz. (6 tablespoons) on a paper plate and place on top bars of uppermost super. Stack 5 deep supers or 9 shallow supers and cover with a tarp. Do not use in the hive or with cut comb honey or un-extracted combs of honey. FOLLOW DIRECTIONS ACCORDINGLY. Not EPA registered in California. #61671-2.
http://www.mannlakeltd.com/catalog/page41.htm DO NOT USE NAPTH moth crystals. This will be absorbed by
the wax.