This is a regular verb. It follows the conjugation pattern of the verb hablar.
PresentPresente
Mi abuelo se cuida mucho y camina a diario.
My grandfather takes good care of himself and walks daily.
PreteritePretérito indefinido
Después de la operación, te cuidaste muy bien.
After the operation, you took very good care of yourself.
Present SubjunctivePresente de subjuntivo
El médico quiere que se cuide más.
The doctor wants him to take better care of himself.