The central suburbs of the Tampa area are the suburban areas on the West side of Hillsborough County. Many of these areas still have Tampa addresses even though they are not part of Tampa proper. These areas are Westchase, Citrus Park, Greater Carrollwood, Odessa/Keystone, Town ‘N’ Country, and a few others.
In my opinion, this is the most ideal area of the entire Tampa area. It is close to the city without feeling urban, and it is close enough to the beach where you could run over there some of the evening very easily. The airport is also right in the middle of this area.