Baptizing baby girl y

My so's mother really wants our daughter baptized, I said I didn't know because I was never baptized as a child and I wanted her to be able to decide for herself when she's big enough to. My parents were both two different religions growing up. If my daughter is to get baptized would I be  able to get baptized into that religion as well or is there some type of age restriction on this sort of thing ? This May sound silly but bear with me