Baby Cafe
Good place to go with other Mums with kids or babies. We had coffee, tea and some cookies. Prices for drinks were a bit high, but to use the space was free, so it was actually a quiet good deal. About four tables, but at a Tuesday morning we were the only group. Might be better to make a reservation anyway. The owner seemed nice, too.
They sell some baby snacks, but to feed the baby their own lunch it costs ¥100.