A swing system may include a bucket-style swing seat, with a front support portion and a back support portion. A grip may be provided at the top edge of the outer face of the swing. The back support portion of the swing may have a height greater than the front support portion, and this high molded backing may also be provided with a top edge that curves outwardly. The high-molded backing may provide additional comfort for a child in the swing, as well as a grip for the caregiver pushing the swing.