Ricky's agent says that the Ricardos should move to a fancy apartment and get out of the "dump" that the Mertzes own. The Ricardos stand up for the Mertzes, saying they're happy where they are. Just for fun, though, Lucy goes to look at a high-price New York apartment. Meanwhile, the Mertzes make up a fake fight to get the Ricardos to move out, because they think living elsewhere would do wonders for Ricky's careers. After the fight, Ethel calls up her Aunt Martha, saying that there will probably be a vacant apartment soon. But when the Mertzes find out Lucy visited the ritzy apartments, and when the Ricardos find out Ethel called Aunt Martha, the two couples start bitterly feuding. The feud spreads when they all appear on the TV show Face to Face. In the end, all of their real motives are explained, and they end up friends again.

Lucy is not happy about the idea of being separated from Little Ricky, but Ricky insists their son must start nursery school. Lucy then becomes worried when Little Ricky gets sick with tonsillitis and must be hospitalized.