Device for handling plastic containers each having a body, a neck and a bottom, this device comprising: - a transfer wheel provided, on a periphery, with a plurality of individual members for gripping the containers by their neck, this wheel being driven to rotate about a vertical axis; - a device for cooling the bottoms of the containers, which comprises: o a pressurized-gas supply circuit; o a manifold mounted below the transfer wheel and coupled in rotation thereto, this manifold having an inner wall and an outer wall which are opposite and being provided with a peripheral gas-distribution channel and pierced with openings oriented towards the bottoms of the containers, this manifold being adjustable in a vertical position with respect to the transfer wheel by being mounted slidably with respect to slides ( 35; 58) secured to the transfer wheel; o a plurality of injectors connected to the supply circuit and connected to the manifold and configured to cool a fraction of the gas coming therefrom and to inject this cooled fraction into the peripheral distribution channel; this device being characterized in that: - each injector is connected to the inner wall of the manifold; - the cooling device comprises a fluid distributor which is fastened to the transfer wheel and connected to the injectors. - a transfer wheel provided, on a periphery, with a plurality of individual members for gripping the containers by their neck, this wheel being driven to rotate about a vertical axis; - a device for cooling the bottoms of the containers, which comprises: o a pressurized-gas supply circuit; o a manifold mounted below the transfer wheel and coupled in rotation thereto, this manifold having an inner wall and an outer wall which are opposite and being provided with a peripheral gas-distribution channel and pierced with openings oriented towards the bottoms of the containers, this manifold being adjustable in a vertical position with respect to the transfer wheel by being mounted slidably with respect to slides ( 35; 58) secured to the transfer wheel; o a plurality of injectors connected to the supply circuit and connected to the manifold and configured to cool a fraction of the gas coming therefrom and to inject this cooled fraction into the peripheral distribution channel; o a pressurized-gas supply circuit; o a manifold mounted below the transfer wheel and coupled in rotation thereto, this manifold having an inner wall and an outer wall which are opposite and being provided with a peripheral gas-distribution channel and pierced with openings oriented towards the bottoms of the containers, this manifold being adjustable in a vertical position with respect to the transfer wheel by being mounted slidably with respect to slides ( 35; 58) secured to the transfer wheel; o a plurality of injectors connected to the supply circuit and connected to the manifold and configured to cool a fraction of the gas coming therefrom and to inject this cooled fraction into the peripheral distribution channel; - each injector is connected to the inner wall of the manifold; - the cooling device comprises a fluid distributor which is fastened to the transfer wheel and connected to the injectors.