Make Dinner Time about Dinner
On every iPhone there is a little moon icon that will prevent calls and notifications from interrupting your time. It's called the "Do Not Disturb" (DND) feature. This little button can allow you to be focused in meetings, actually eat dinner with your family at the dinner table, and let you sleep more sound.
You can customize the settings as well
DND does not have to be just "on" or "off". Accessing the function in settings allows you to further customize the rules, and even automatically turn on at a specified window of time.