Black hair babies? As the offspring of a white mama and a black daddy, I have that mysterious hair in-between. After suffering under the naivete of my mother's best endeavors, I can share a legacy of dos and don'ts for you would-be-torturers.
DO get ends trimmed every 6-8 weeks. Trimes will minimize breakage and further aid in getting through the rats' nests.
DO NOT pull the hair up in elastics every day. Due to its shape, curly hair is more brittle than straight, and elastics often cause breakage. Curly hair has a flattened shaft, while straight hair has a tube structure that is stronger and retains moisture and stretch.
DO NOT use a blow dryer on your baby's hair... Well, not without a diffuser. The hair will lay best if allowed to air dry with the proper product on it.
DO explore different products. Although all biracial hair has the same basic rules, every mop IS different. Some hair will work best with standard black hair products. Other curls require lighter weight products. Try and test different hair products on your child's unique hair to find what works best for you. I'm not getting paid to endorse it, but one leave-in product I love is called Mixed Chicks.