Friend and I would like to go to Japan next May (earliest we both can get away). Is this a decent month weather-wise? We are considering Smartours which spends 4 nights in Tokyo (Akasaka Prince Hotel), including a one-day excursion to Mt Fuji and Hakone, then Bullet Train to Kyoto (Rihga Royal Hotel) for remaining four nights. How does this itinerary sound and how about hotel locations--most important to us. Not a very long trip, but price is right and I believe we will get to see most hightlights in these two cities. Is this so? Many thanks for your response.