Make a crown from paper and have someone wear it with a robe and read the words of King Benjamin (Mos 1:10-14). Or have the kids make the paper crowns while you read if they are too young to read themselves.
Make family scripture time productive. Get the kids excited. If kids can see how the Book of Mormon applies to them and if reading the Book is FUN, you might hear, "Is it time to read yet?", rather than, "Do we have to?" We are counseled to SEARCH the scriptures, not just read them. It takes preparation to do that with children. This is the preparation that I've done. Now I have it for reference next time. And you do too. Comments welcome.