I’ve never actually watched the moon rise. Usually I first notice it when the moon is actually showing or is above the horizon. We saw the super-moon on the 13th after the moon was already up, so we decided to try and catch the moon coming up the next night.
We didn’t realize that it would be much later coming up the second night, so ended up waiting for the moon to come up. It was interesting to see the sky lightening in that area, and eventually seeing the moon come up.