Formula at the hospital.

I breastfed in the beginning with my first, this time I’m going to formula feed, and I was just wondering if you can bring your own formula and bottles to the hospital for your baby’s first feeds? I’ve heard the hospital gives them formula that they have, usually Similac or something. My son was very sensitive to certain formulas and I’d rather try the special formula I had on my son with this baby first and not give it something that could mess it’s stomach up in the beginning.