Babies are babies. You really don't have to worry for a newborn. Just use Johnson and Johnson, some light light light light conditioner and you will be fine. Babies need more moisture because their bodies are tiny and small, but basic baby care is all you need. When they are born, the hair type is finer, lighter and softer. After they loose it, you can come back because the hair will change into what it will grow as for the rest of their life.
But right now, relax. Your baby just has baby hair.