The attachment system includes a brushhead assembly having a spring/carrier combination which comprises a spring assembly and a separate carrier assembly, adapted to mate as a combination with a receiving portion, in the form of a cup member, at the top of the handle of the toothbrush. The spring/carrier combination includes a slot which mates snugly with a vertical rib on the inside surface of the cup member, and further includes a portion which opposes the slot on the spring/carrier combination which mates snugly with a cut-out portion in the cup member, to prevent rotational movement of the brushhead relative to the handle. The spring/carrier assembly further includes two opposing spring finger elements, wherein the lower ends of the spring fingers fit into corresponding openings in opposing sides of the cup member when the spring/carrier assembly is operatively positioned in the cup member, tending to prevent translational movement of the brushhead relative to the handle.