Baby Growth Recorder is a nice app to help you keeping track of your baby's growth data. You can record the baby's sleep, milk, food, diaper, or any other kind of data you like. The app presents these records to you at home page to give you a glance at the amount, timing of all kinds of stuff. It also shows you statistics of them by day, week, or month.

You can either keep these data on your very own device only, or enable cloud sync to save them on the server. You can also share your baby's data to others so you and your family or friends can help to add records for you baby together.

Full version monthly subscription:
You can subscribe to use cloud sync and data sharing. This app uses Apple Standard EULA:
https://www.apple.com/legal/internet-services/itunes/dev/stdeula/