I thought about it.
shmeril: You ask how you can “entertain” your kids at the shabbos table. That sounds as if you think they need to be there, so you want to know how to get them to stop screaming while they are there.
The answer to that is they only need to be there inasmuch as they gain from it- which is only a few minutes. Then forget entertainment, just let them leave and play.
You might also ask what you can do to make the few minutes they can handle more meaningful. What songs you can sing, etc.
The answer to that is to make it pleasant, don’t fight with your wife, and just sing regular shabbos zmiros with them. Show them that shabbos is meaningful to you, by making it meaningful to you.