Stacy and other LB basket owners:
Stacy had asked whether to put wood oil on the baskets. I personally wouldn't recommend it because it may "activate" the stain they place on the wood. The baskets are not sealed, and the stains are water-based. I don't know if it would re-activate the stain and then you may end up with a funky color on your baskets. Just keep them in a room that's not too dry or too humid (interesting thing about the humidity though...I've kept baskets with colored stains in my bathroom, and they've done just fine).
You can treat the lids with the furniture oil since those are sealed with polyurethane (or something like that), but like I said, I wouldn't do it to the baskets, themselves.
If there are other LB consultants who are knowledgeable about this, please do share your experience or recommendations.