Since you know the parks you have an idea of what you want to do with dd so I will try and keep my ideas to "traveling with toddler" and thinks you may not have noticed before having baby.
I am sure you know about the baby care stations but just in case here is a link with the information courtesy of allears:
http://allearsnet.com/pl/infant.htm#babystat
Actually that link if you scroll to the top is very valuable!
My best tip with a toddler that age is use a sling or snuggli as you can't bring the stroller in the queues. Mine did pretty well for some of the lines but for others they wanted or needed to be held and the snugli was a lifesaver. There are also a few of the pavilions esp in Epcot where you can't bring a stroller at all. I remember at 15mos my youngest went through a 5 day trip saying, more boats, more boats and to her every ride was a boat. A memory I will never forget and love to remind her of still.
I also suggest a full size stroller so she can nap when and where she decides to . We used a clip on umbrella in addition to the stroller sunshade as well as a clip on fan for a breeze and white noise.
We made our big meal of the day a late lunch, I found my kids needed a break from the parks and were better behaved for lunch (and still do/are!). A late breakfast also worked out well for us.
We would also take a later afternoon break and dress dd's in comfy pj's before heading out for the night. Since we always brought a nice fully reclining stroller we would often spend our evenings at Epcot. Since dd's would always fall asleep comfy in the stroller it was almost like having a night out withough leaving dd's behind.
Approach the characters from afar, some toddlers love them some don't.
Carry what you would for a day at the zoo or other outing and remember to offer lots of liquids.
That's all I can think of for now but if you have more questions ask away!
TJ