This is a regular verb. It follows the conjugation pattern of the verb hablar.
PresentPresente
Siempre me quito los zapatos al entrar en casa.
I always take off my shoes when I come home.
PreteritePretérito indefinido
Juan se quitó el sombrero para saludar.
Juan took off his hat to say hello.
Present SubjunctivePresente de subjuntivo
El médico quiere que te quites la venda hoy.
The doctor wants you to take off the bandage today.