I've been playing Banana Dreamweaver and her family in the future. The Community Center doesn't have anything for babies or toddlers, but you can access Buy Mode just like you can when you own the property. I set up the very top floor for the parents and put a crib in their room along with whatever else they needed. I used the area outside the bedroom door for toys. When they moved to their own house, they could bring everything with them in the family inventory and set it up in the new house. The mother in this case was from the present and she married someone in the future (Asher Dunes). Her pregnancy and labor was the same as always. They raised their daughter through the toddler years and then traveled back to the present. No problems with any of it.
I also brought a toddler who was born in the present into the future. She had no problems at all and life was the same as in the present. A teen babysitter came to the house when the mother had to run errands. One thing that was interesting to me is that the mother and toddler had different sets of descendants. But when I thought about it, it made sense. The toddler's life is separate and different from her mother's. Her mother's descendants are technically also her descendants, but she's also got another family there that descends from the toddler and whoever she ends up marrying.
I found a crib, high chair, and toy box in buy mode. I switched to collection view and they're down towards the bottom of the Into The Future collection after the decorative statues.
The baby furniture and toys are located in the usual place in Buy Mode. Everything you have installed is available, just like in the present.
