anoint (someone/oneself) with
To touch someone or oneself with a liquid (such as oil or water). The phrase often retains its religious connotations. They will anoint my baby with chrism during her baptism today. To alleviate the inflammation in my leg, I have to anoint myself with this special cream every day.
anoint someone with something
to pour or rub oil on a person's head as an honor or blessing; to put a liquid onto oneself. (Mostly in biblical references.) They anointed the king with oil and praised him greatly. He anointed himself with a menthol rub that was meant to help his cold symptoms.