Place your child's stuffed animals in a laundry bag or pillowcase (just knot the open ends together or secure using rubber bands), and wash on delicate with warm/cold water. Then place it in the dryer on low heat. But if it has too many delicate parts, like buttons or strings or is an heirloom, you may need to spot wash it by hand.
Note: After you wash the stuffed animal, it will no longer have that fluffy, crisp feel. It was be clean though, and sometimes that's more important.
Image Source: POPSUGAR Photography / Kelly Ladd