Have you read tigers den it's really cute without any violence and the bay is really involved
our sunny days
Boku no papa to papa no hanashi
https://www.mangago.me/read-manga/tadaima_okaeri/
If non BL is ok though, I have a whole list here!
https://www.mangago.me/home/mangalist/1408361/
Hope you enjoy!
Can someone recommend bl stories with babies? like, I am not talking on the side story. I am talking about stories where a baby is really involved at least half way or in the whole story