Here's the only issue I can think of. Almost all child care centers have state regulated rules they MUST go by or be closed down. One of them is how old kids must be in each classroom. Since your little one is still an infant they'll be in the infant room until they turn 1. Your little one will have to move to the toddler room. That's GOOD. BUT you'll have to understand it's not all about your little one at the center. The toddler room should only have 1 nap per day, they should have the kids on cots instead of a baby bed, they will have certain times they eat, sleep, play, do table work, go outside, and everything.
They have to have all the kids down at the same time, they have to follow a written class schedule for the most part, if the licensing worker comes in and finds them not going by the state regulations they can lose their license to they won't change for you just because you want your little one to do something differently, you'll have to conform to their schedule and rules and expectations.
That will influence your home much more than a nanny who will do basically what ever you want them to do.
I'd still do child care because I have less issues with a child going to a facility that has numerous people wandering in and out of a classroom and seeing how the kiddo's are being treated than if a person was at home with a kiddo by themselves.