Card-handling devices include a card-holding area and a card output shoe. The card output shoe includes a card-way for passage of cards from the card-holding area into a dealing-ready area. A movable gate is positioned between the card-way and the dealing-ready area to prevent cards in the dealing-ready area from re-entering the card-way. Card shufflers include a gate mounted to allow movement of randomized groups of cards from card-receiving compartments to proximate a terminal end plate of a card output shoe and to block movement of cards in an opposite direction. In related methods of moving cards, card movement through the card-way to the dealing-ready position is allowed by a movable gate and card movement from the dealing-ready position into the card-way is prevented by the movable gate.