Book car 11 or 12 on the Tokaido Shinkansen, car 5 on Tohoku, car 7 on Hokuriku: where the multipurpose room is, how the family car works, and stroller rules.
Shinkansen day trips from Tokyo with kids, ranked by door to room time, plus Hakone via Odawara and where to stay in Atami, Karuizawa and Echigo-Yuzawa.