Wilma, tired of housekeeping, hires a maid. But Fred's loud singing annoys the maid, and she quits. Inconveniently, Betty would like the maid's assistance in receiving important guests at her house, and Fred has invited his boss, Mr. Slate, for dinner.
After the childless Rubbles wish upon a star for a baby of their own, Barney finds a basket containing the world's strongest foundling. However, someone else wants to adopt little Bamm-Bamm, and he's rich.
Betty and Wilma learn from a talk show that if they whisper to their husbands while they are sleeping, they can work their will on them with the boys never suspecting a thing. The trick works like a charm on both Barney and Fred, who now accompany their wives uncomplainingly on trips shopping and to the beauty salon, among other things. Then Fred, while awake, overhears the girls talking about what they've been up to, and he comes up with the perfect way both to get even with the girls and to nip in the bud their latest effort: to get the boys to buy them mink coats.
Fred takes Pebbles to the supermarket and discovers she puts a lot of things in the basket. Fred is afraid his daughter might be a budding kleptomaniac. While Fred's at the jeweler's to purchase a gift for Wilma, a thief plants an expensive diamond collar in Pebbles's crib. Back home, Wilma is delighted with the "gift," but Fred suspects that Pebbles snatched it. He goes back at night with Barney to the jewelry store to sneak the collar back, but the thief is waiting there to recover his loot.
Fred's beginning to think that taking Pebbles for walks in her stroller is bad for his image. Then he hears of a club in which fathers can park their babies' carriages while they go attend to other things.
The Flintstones and the Rubbles are fans of "Peek-a-boo Camera," a show that catches people off their guard as they go about daily life. Fred and Barney are invited to a bachelor party thrown by the Water Buffaloes. The boys lie to their wives that they are going to visit a brother Buffalo in the hospital, then attend the party instead--and are filmed there by the crew of "Peek-a-boo Camera."