This is a regular verb. It follows the conjugation pattern of the verb hablar.
PresentPresente
Yo acostumbro tomar café por la mañana.
I usually have coffee in the morning.
ImperfectPretérito imperfecto
Mi abuelo acostumbraba pasear después de cenar.
My grandfather used to take a walk after dinner.
FutureFuturo
Pronto acostumbrarás a tu gato a la casa nueva.
Soon you will get your cat used to the new house.