Do your family members fast? They will want to eat right away and if they are like lots of people, have a dairy meal - lox, cream cheese, bagels, smoked fish, egg casserole, noodle kugel, salads, fruit and lots of desserts.
Do they go to synagogue on YK? How long are they there? Do they stay all day or are just there for a few hours? If they are there all day, they will likely be exhausted. As several pp’s said, can you celebrate the birthday on Sunday? If the birthday person isn’t Jewish, they may not appreciate a dairy meal.