Since you don’t want your new baby wearing moldy clothes, you could try washing these clothes separately with hot water, detergent, and, optionally, vinegar. Make sure all mold is gone and that there is no lingering smell of mildew. It may take a few washes and don’t get upset if you can’t save them all. Hot water or (for white or pale clothes) chlorine bleach will kill all the mildew, though harmless stains might remain. Wash a final time with the rest of your baby’s clothes.

“Fragrance-free” generally means without any fragrance, while “unscented” can mean either without fragrance or with only mild fragrance to mask the sometimes-odd smell of active ingredients. Either may well be fine, but all else being equal, go with “fragrance-free”.

Baby clothes can also be dried on a clothes line. Sunshine on diapers is an excellent method to ensure they are thoroughly clean.