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For Tokyo, I think the Hilton Shinjuku is a bad location; it's surrounded by high rise modern government office buildings. Given your shopping interests and possible day trips, I'd try to stay near Tokyo Station, such as Ginza or Hibya. For many destinations, Shinagawa station also works, but you're farther from prime shopping or tourist areas. Think also about transportation to/from the airport (HND or NRT?) and try to pick a hotel that has direct limobus service at convenient times.