One game is to "...color some boiled eggs and leave one white. Place the white egg in the center of the room and take turns to see who can roll their colored egg closest to the white egg." That's a new one on me!
"Another fun egg game is the famous egg and spoon race game. Eggs, spoons and an area to run are all you need for this game. Variations could include relays and obstacle courses. To make it easy for younger kids, place something sticky on the spoon."
They suggest prizes so that "...everyone to be happy and feel glad that they were at the party."
There is a LOT more on that site about Labor Day and Labor Day Weekend. If you are in the USA, Have a Great Labor Day Weekend!