Pigeons don't carry any more diseases then any other type of birds, and most of them aren't even contagious.
You don't have to worry about that, just use the same type of hygiene you use when picking up and holding any type of animal or bird. Wash your hands before and after you hold them.
In regards to staying in an enclosed room with your baby and birds, I would not recommend it because of the powder they shed. It can cause lung breathing issues/allergies in some people, and especially for little ones-who are more vulnerable and their lungs are smaller.
However, in an enclosure or aviary where their is access to fresh air, that kind of exposure is okay.
You don't have to worry about that, just use the same type of hygiene you use when picking up and holding any type of animal or bird. Wash your hands before and after you hold them.
In regards to staying in an enclosed room with your baby and birds, I would not recommend it because of the powder they shed. It can cause lung breathing issues/allergies in some people, and especially for little ones-who are more vulnerable and their lungs are smaller.
However, in an enclosure or aviary where their is access to fresh air, that kind of exposure is okay.