I personally shoot video with a DSLR (Canon Rebel T2i) because the image quality is supreme when you have good glass attached. Also they are relatively inexpensive for the lower models. plus they shoot in 24p and it really gives it that film look. You just can't get the same optical quality of stills from a Camcorder vs. a DSLR either. So if you plan on taking pictures which I assume you are since your having a baby, I would recommend a DSLR because you get amazing pictures and video quality (best of both worlds).