Good handwashing should be enforced at home and at daycare facilities.
Use a new easy-care handwashing liquid from Ivory or Woolite.
Considering handwashing your tank top to avoid the color from leaching out.
If you don't have time to hand wash your bras and the tags say that they're machine washable, you can use a mesh lingerie bag on the gentle cycle to extend the life of the bra (though maybe not as much as handwashing would).
Select a gentle handwashing detergent in which to soak your teddy before rinsing.