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 ( X2 ); - 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 ( X2 ); - 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 . <EOS>