This is a regular verb. It follows the conjugation pattern of the verb falar.
Present:
A Ana cuida das crianças.
Ana takes care of the children.
Preterite:
O Miguel cuidou do cachorro.
O Miguel cuidou do cão.
Miguel took care of the dog.
Future:
Eles cuidarão de tudo.
Cuidarão de tudo.
They will take care of everything.