Yeah, dogs and kids are great. With babies you have to be more careful as you are still establishing where that baby fits in the new pack dynamic. Again, most things I've read all point to usually the issue isn't the dog hurting the baby but becoming too aggressive towards others trying to protect the baby. This causes issues when say grandma comes over and tries to pick up crying baby. Dog doesn't understand that grandma is trying to help just that baby is in distress. If you've adequately enforced that the baby is under your authority as Pack leader, instead the dog will look to you for feedback and seeing that you are OK with grandma and baby, will defer to that authority.