I recall Martha Stewart saying that you should not store seasonal clothing in plastic tubs- she recommends canvas storage boxes and/or garment bags for breathability. I actually go the plastic bin route for most stuff because it's just easier. I have a couple of these canvas boxes for my most precious items. My silk saris are all stored in a hardwood chest. I've also used some of those large ziploc storage bags and they seem to work well.
As far as storing in plastic, I don't think it's a big deal for short-term storage but it is perhaps not wise for longer periods. My sons are 4 years apart and I did notice that some of the clothes that I put away in plastic bins appeared to have stains in them even though I washed them thoroughly before storing. I do think this had something to do with storing in plastic.
I've hear that using tissue paper is a good way to prevent wrinkles. Too much work for me! I just iron or even just put my knit wear out on a hangar while I shower to get wrinkles out.
Lavender (or rosemary) is a great moth deterrent and doesn't smell nearly as bad as moth balls.
