To speak about country and city, you need the appropriate vocabulary.
State - a country or its government;

Сountryside - land not in towns, cities, or industrial areas, that is either used for farming or left in its natural condition;

Сapital city - a city that is the centre of government of a country or smaller political area;

Town - a place where people live and work, containing many houses, shops, places of work, places of entertainment, etc., usually larger than a village but smaller than a city;

Village - a group of houses and other buildings that is smaller than a town, usually in the countryside;

Suburb - an area on the edge of a large town or city where people who work in the town or city often live;

Outskirts - the areas that form the edge of a town or city;

Environs - the area surrounding a place, especially a town;

District, region - an area of a country or town that has fixed borders that are used for official purposes, or that has a particular feature that makes it different from surrounding areas.

Some theatres receive a small amount of funding from the state.

He lives out in the country somewhere.

Would you prefer to live in the countryside instead of a town?

Box Hill is a suburb of Melbourne.