Being in a cellar, moist air, being heavier than dry, will fall there. Can you arrange ventilation with an extractor fan and some ducting? Even if only switched on whilst you are there, it should at least remove the moisture that you produce.
You need an inlet for fresh air of at least equal cross sectional area to that of the duct from the fan to the outside.
Perhaps, obvious, but the terminal for the duct should be weatherproof
If you can heat to bring the temperature above the dew point, this will help, but obviously, at a cost. Depending upon the volume of air, a small tubular heater of say 60 watts, given a day or two, may suffice.
Once you have derusted your machines and models, spray with oil, and then cover.
H T H
Howard