This is not easy, because air mostly cycling in cyclones/anticyclones.
And storm front is like giant horizontal tornado.
Exists locations in space-time, where air moving very steady, so could say, it move from some point, or locations with very little exchange with surround, but need additional research and large scale modelling to map such locations (may be, gather many-years data would be enough), but for others air is usually mixed.
For example, Mexico City is located in the Valley of Mexico, so surrounded by mountains, and it have little air exchange with surround.
Here once I seen interest whole year diagrams, with temperatures for many large cities, but I'm not sure it is what you looking for.