Hi Selene,
My family just got back from a March 8 Eastern Carribean cruise on the Dawn. We have two small children (ages 5.5 and 2.5).
The Dawn is a beautiful ship with very nice cabins (the regular cabins are a bit small with the kids, but liveable) and lots of fun stuff for the kids. My five year old LOVED the kids camp and counselors. In fact, during the hours that the camp wasn't open, he continually asked when he could go back. Unfortunately, my two year old was not as impressed. He refused to stay (even tho his brother was there). This was a bit of a disappointment since my husband and I had hoped for some "us" time while both kids were at camp, but we adjusted and had a great time anyway.
The kids really enjoyed the kid-sized buffet in the Garden Cafe. They always had good "kid friendly" stuff to eat. (All the food on board was quite good . . . and I'm at least 5 pounds heavier to prove it!!

Whether your baby goes to the "camp" or not, I'm sure you will love the Dawn. It is a beautiful and immaculate ship. The staff is quite nice and helpful and good with kids.
A couple suggestions: take several swimsuits and cover-ups (this was all we wore on at-sea days), don't worry so much about taking dressy things (meals in the Garden Cafe are always casual -even swimsuits are ok during the day) - a few nice pants and shirts (for men/boys) and sundresses (for girls/ladies) is all you really need (for the dressier restaurants). We really over-packed, tho I wish I had taken more t-shirts for the kids (they showed the dirt and looked rough by the end of the day!)
Anyway, if you have any questions, I'd be happy to answer them. You will love the Dawn. I'd go back tomorrow if possible

(. . . and my 5 year old asked if we could live there . . . I figure that's a pretty good endorsement).

Camille