I been perming my since my first child nd I'm on my fifth baby nd my hair is fine. I have African American Hair too.
I've perm my hair while pregnant with all my babies. I'm on my 3rd child. As long as your in an open, ventilated area you should be fine.
I have permed my hair with all my babies and this is my fourth. I'm African American. The only precaution I took was avoiding perms in my first trimester because the baby is doing so much developing during that period. Hope this helps.