The lady of the house has gone out for a few hours, leaving her baby in the care of a stereotypical 1950s teenager, who immediately begins calling her friends. Tom and Jerry must call a truce to their constant chases as the baby, unsupervised, continually gets loose. When the baby escapes out the front door, Tom and Jerry chase it to a construction site, where they frantically try to keep it from harm.
George gives Joan a baby duck for her birthday. While they are out celebrating, Tom goes after the duck but his plans are thwarted when the duck (and, later, Jerry) finds a jar of vanishing cream and uses it to well, vanish, and get even with Tom (for a while, at least).
The Easter bunny brings an egg for Tom and Jerry that hatches into the little duckling. He keeps getting into water he shouldn't: the aquarium, water cooler, bathtub, sink, as the boys keep rescuing it. They try to give the duck back to the Easter bunny - no go. They leave it in the pond at the park and think they're home free, until the duckling brings his friends home.