A household object that can represent Napoleon is a bowler hat because pigs were not supposed to wear clothing.
When choosing household objects, consider what they symbolize. In Old Major’s version of Animalism, all human clothing was considered sinful. The animals did not want to relate themselves in any way to their oppressors. However, the pigs began breaking the tenets of Animalism before anyone else, keeping more comforts and powers for themselves.
No animal must ever live in a house, or sleep in a bed, or wear clothes, or drink alcohol, or smoke tobacco, or touch money, or engage in trade. All the habits of Man are evil. (ch 1)
Napoleon is soon seen living in the house, and sleeping in the human beds. The pigs report that they are not using sheets, so it is okay. Napoleon even wears medals, another type of human symbol. Yet when Napoleon comes out wearing a hat, that is a real indicator of how far he has crossed over into being “human.”
At about half past nine Napoleon, wearing an old bowler hat ofMr. Jones's, was distinctly seen to emerge from the back door, gallop rapidly round the yard, and disappear in doors again. (ch 8)
Napoleon wears that hat when he is drunk, other thing animals were not supposed to do. Both behaviors are indicators that Napoleon and the other pigs are becoming more and more like the humans.
As often happens in a revolution, the new boss is as bad as the old boss in Animal Farm. The pigs take all the power for themselves, and are abusive. The hat is just one object that can symbolize the pigs’ tyranny and betrayal of the other animals.