They had those already sterilized glass bottles of formula for mine and brand new sterile teat every time. I think it's safer than everyone bringing in bottles, getting them washed and properly sterile when the patients and staff have got better things to do, not enough space, higher risk of infection.
Where does a woman recovering from a CS go to wash and sterilize her bottles for a newborn? I couldn't even walk for days after my first EMCS. My baby was in special care and they couldn't get hold of a breast pump for four days. The hospital was filthy. I wouldn't want to to wash my own things there, never mind for a newborn.
I wouldn't mind taking my own milk but I think they should provide disposable sterile bottles and teats.