help with dog allergies....

We have found out through blod testing that our baby, who suffers from bad eczema, is allergic to dogs. this is bad because we have a shihtzu, who is part of the family. we don't want to have to lose her, but must help our baby. does anyone have any suggestions that would help reduce the allergy problem. we put good filters on the ac, and a heppa filter in the baby's room already...

thanks in advance,
John g