This is probably too late for OP, but may be useful for others. Baby Buddy was such a nice tool to have when our daughter was really small. It's a self hosted app, so needs a tech savvy dad/mom.
I struggled a little bit setting up, but boy it was worth it. As it was also connected to Home Assistant, I was able to show some nice stats and reminders on our kitchen dashboard. Plus I had a Hue switch lying which I was then quickly able to reprogram into quickly add feedings, and diaper changes into the database.