Do it in front of the TV, or find some other way to make this happen. Provide some sort of container to cart clean laundry back to the bedrooms and linen closet. When I was a kid, my dad built a storage cubby in the laundry room closet. Each member of the family had a Rubbermaid basket, and we were each responsible for regularly taking our laundry to our rooms and putting it away, and returning with our dirty clothing. If possible, move your laundry facilities out of the basement and closer to the bedrooms.
Nobody likes doing laundry in the basement.