Lena, love this one — first pass below.
Blossom timing: Kyoto peaks around March 28–April 3; I've pinned 5 nights there to straddle the window. Tokyo 3 nights up front, Hakone ryokan 2 nights at the end to decompress.
Flight routing: United 2-stop via Houston–Narita, 11h on the longest leg — under the 14-hour ceiling. Premium economy held for four at the current fare, 72-hour float.
Hotels: The Thousand Kyoto (walkable to Nishiki, good teen-sized rooms), Aman Tokyo, Gora Kadan in Hakone. Gora Kadan books out early for blossom season — I'd lock this week.
One edit from last trip's notes: your girls preferred the quieter ryokan to the formal one, so Gora Kadan over Tawaraya. Send the full itinerary + hold requests to all three?
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