Just my opinion but sounds like it works out bad for the 2 year old no matter how you look at it. Don't think I would even consider full-timing, both working with a young child. It's hard enough to find someone you trust when you are living in one spot for many years. Once again, only my opinion but never understood have kids and put them in day care all day?? We sure would have more $$$ if my wife worked all thru my kids growing up but not worth it to me.
I think if u must use day care then at least stay put so your child isn't always in a different environment. "The hand that rocks the cradle rules the world"