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honestly I don't think the level of oxidizer in the air is anything to worry about in a 20'x 23' 2-car garage..
isn't salt an oxidizer too? like people who have stuff near the ocean like cars and things, don't they rust faster because of the higher salt concentration in the air?
Yes! Doc is probably right, but personally I wouldn't worry about it. Spray tools with WD-40, the dirt bikes well they are dirt bikes, if you bought them at Costco I might be worried about corrosion, your car is exposed to rain,snow salted roads depending where you live? And if your collector car is parked in the garage 24/7 I might worry a bit.