Firstly, if they're all corked bottles then logically they're malts and if you're intending to store the whisky as an investment then I'd say don't, just enjoy them. If you really want to store them then there are a couple of things you can do but there's no guarantee that any of the corks or contents will last that long in good shape.
You can seal the neck + top of the bottle with sealing wax [as Makers] and this should keep the cork OK, the alternative is to make certain that the bottles sit on something wet i.e. rags or damp sand and are kept humid all the time. This will in the long term fox the labels but at least they will have been kept in an ideal humidity.
I wouldn't recommend saran wrap as experiment a number of years ago showed that the slight evaporation that occurs has a very detrimental effect on the labels as it's not just water that evaporates.
Remember to store any boxes/cartons in a safe dry place as these will not benefit from damp conditions.