I'm going to put this as diplomatically as possible.
I can't imagine taking a newborn to a Disney Park. What is the point? They dont know where they are, they can't appreciate it. No, I don't mean in a "this is Walt's place" kind of way, but in an "overstimulation" kind of way. Do you really want to take your child while they're still in that "I will cry just because I feel like it" or that "I'm crying because i'm tired and inconsolable" way? My aunt started taking my goddaughter when she was 2, once, we brought her and she wanted to go on the Mark Twain, but grew impatient as the boat offloaded its previous passengers (which is a slow process) and explaining to her to be patient of course, didn't work. My aunt was forced to pull us all out of line, because she would not calm down. Why? Because she was just too young to understand you have to wait. Do you really want to go through that?
My mother waited to take me until I was out of diapers and out of the stroller and that in no way meant she couldn't "see it through my eyes". You don't become jaded after the age of two. And my mother always had a saying, "Changing diapers is NOT the thing to do at the Happiest Place on Earth".
I never have understood wanting to take a child who's going to be just as happy at a local city park, and for less money. I would rather save the first visit and make it significant to the child's life. but that's just me.
to sleep 
so it might go very smooth. Another thing to take into account is the time of year you will be going to DLR. Knowing what kind of crowds to expect will also help you a lot.
