How does convection cells affect wind and the Coriolis effect?

As hot air rises, it makes pockets in which there is no air. Air around this pocket then fills in, causing wind because of the rushing of the air into the space. The air that moves in is usually cold, due to the fact that cold air tends to be closer to the ground. I do not know/cannot remember the reason why wind has one specific direction, but I think it is generally caused by the cold front and the direction it's coming from.