If you make sure the dog is never let into the baby's room so that remains a hair free zone.
Do you have a vacuum cleaner designed for pet hair, I have a VAX swift pet premium and that works great on my animals hair, my shepherd moults regularly then there's the cat hair! They work better than regular hoovers as they suck in all the hair and not blow it around the room as some do.
Brush the dog daily outside and collect the hair in a carrier bag and throw into the bin, so the hair is not blown back into the house.
This should stop any problems really, x