Transportation are trams that run under the ground and travel at a light speed between each city that has a hub like airports in each city. Freedomtown is the main and biggest hub for the trams.
All cites have hospitals, public schools, housing, and governing places, they will look like they are within Westeros time period for all the Kingdoms. Anyone held in contempt within any of the ruling regions will have to face the judgment of the Queen or King of that area. The ruler of The Iron Islands will always defer to King Bran, but will otherwise have full control of the area.