“Tufty” refers to promotional material for a Muggle children's club, seen only in the film adaptation of Harry Potter and the Order of the Phoenix. In the film, a “Tufty Club” leaflet or application form is visible on the kitchen table at Number Four, Privet Drive. This object is a film-specific replacement for a different item in the original novel. In the book Harry Potter and the Order of the Phoenix, the object in the same location is a flyer for the All-England Best-Kept Suburban Lawn Competition, an event of great interest to Petunia Dursley. The name “Tufty” does not appear in the seven original novels.
The Tufty Club material has no magical properties. It is an entirely Muggle object. Its narrative usage in the film is to establish the mundane and orderly world of the Dursley family. It serves as a stark visual contrast to the dark and dangerous reality of the wizarding world that Harry Potter is preoccupied with. The presence of a children's safety club leaflet highlights the trivial, sheltered concerns of the Dursleys, deepening the sense of Harry's isolation as he waits for news about Lord Voldemort.
The Tufty Club material appears at the beginning of the film adaptation of Harry Potter and the Order of the Phoenix. It is a minor background detail that helps to set the scene at the Dursleys' home during the summer of 1995. Like the lawn competition flyer it replaces from the novel, its primary role is symbolic. It represents the profound disconnect between Harry's world and the Muggle world he is forced to inhabit. While the Dursleys are concerned with suburban normalcy and children's activities, Harry is burdened with the knowledge of a resurrected Dark Lord and the impending Second Wizarding War. This contrast underscores his frustration and feeling of being trapped.