This idea is also my Mom's! She did this for us when we were growing up - we each had our our own bin that my Mom would put our clean clothes in and then it was our responsibility to put those clothes away.
We have been doing this for a few weeks now and it works great! I labeled the drawers with laminated pictures (found online) and posted them so they would each know where to put their clothes. Rachel puts her own away and Emily does her own plus Samuel's. We do this about twice a week and it is working great!
These bins were just a few dollars each at Target and they have been so worth it in organizing our laundry and having the littles help me in putting it away!
How do you handle laundry for your children?