I store various fabrics (clothing, cloths, linens, etc.) in RubberMaid RoughNeck plastic bins. It seems to work fine for a while, but given enough years, the contents take on a strong chemical smell. These are not stored in a musty or damp area -- they are stored in my living room. I assume, therefore, that the smell is from the plastic. Before using the contents again, I need to wash them. This means competing for machines in the laundry room of a highrise. This entirely defeats the point of keeping the seldomly used items, which was to have them on stand-by for immediate use upon demand (as opposed to going out to re-buy them).
Are there specific types of plastic that I should look for in a bin to avoid this kind of smell from the plastic?