Shibuya is one of the downtowns in Tokyo. It is not a high end shopping district as like Ginza or traditional district as like Asakusa. Although it is a shopping district but it is not like Shinjuku or Ikebukuro where you find PC or other electronic devices.
Shibuya is a place where young teens gather, do shopping and clubbing. Therefore middle age Japanese would prefer Shinjuku or Aoyama areas for shopping and dining.
Shibuya district’s main station is Shibuya, which is the third busiest station in Japan. The station is served by JR East, Tokyu, Keio and Tokyo Metro lines. Tokyu Corporation operates two lines, Tokyu Toyoko line and Tokyu Den’entoshi line which are terminals in Tokyo but most of the trains continue to Tokyo Metro’s Fukutoshin line or Hanzomon line. JR East operates only one limited express train from/to Shibuya, Narita Express which connects Narita airport.
Remarkable thing of Shibuya is that there dozens of local buses departing from and terminating at Shibuya station. Toei buses operate mostly from east side of the station and Tokyu bus from the opposite side, west side. If you are going to Roppongi or Nishi-Azabu areas, take Toei buses from east side.