I'd use the baby kind because it's made for the babies skin. no scents or dyes or anything in it so your baby won't get rashes!
Think it depends on your baby. My sister washed her clothes with the soap she used for the rest of the family and it was fine. I would def go for unscented first tho if you're worried. You don't want to give your baby a rash or something 👍🏽
I personally wouldnt. The scent can be a lot for a baby skin, but my friends use scented stuff all the time for her 6 month old and hasnt had a problem.
I will be using Dreft for my baby. Used it with all nieces.