Formula

I have a question about formula. Please do not be rude. Fed is best.

Before the baby is born I do plan on bringing formula with me. However I'm wondering if it would be a good idea to just start with one that is good for babies with a milk protein allergen (nutrimigen ect) or one that says gentle on babies tummy. Just so that I have a better chance of the baby being able to take it?

My first baby I breast fed and supplemented with formula and she puked up everything but Enfamil Soy. And in the hospital they only have regular Enfamil available. So I just want to be prepared.