My wife, 9 month old toddler/infant and I are going to do three weeks in Japan, starting with a week on Tokyo. We end the trip with two nights at the Conrad, but for the first five nights, I'm looking for the best neighborhood to stay in to deploy out of that's already a great place to explore on foot and has access to easy transit. We'll likely be pushing a stroller.

We're looking at Shinjuku (Kimpton looks good, maybe Hilton) and Shibuya. Another option is Roppongi (Prince Park Tower).

Any suggestions welcome. Thank you in advance.