Birthdays in the calendar?

Hi, I’m new to posting in this Reddit- I’m learning Japanese and can’t find anything on this on Google- I’m trying to incorporate Japanese into my daily life and one thing I’m trying to do is write in my calendar in Japanese… ofc in English you’d just write “Luna’s birthday” as an
example, where “the birthday of Luna” would sound unnatural so I want to check if “ルナの誕生日” would be the natural way to put it down in a diary or calendar or if there’s another way? Thanks in advance for any help!!