L.J.
I agree with the "cool water bottle" idea. I have a 3yo and a 16mo and they love when I give them "juice" I put about 20% juice and 80% water. both V8 an juicy juice make new juices that have veggies in them...got to figure you have to sneak veggies in where ever you can.
my kids love slushies- I just take some crushed ice and mix it with the watered down juice
for the chapped lips, try putting some aquaphor on her lips at night and find a fun chapstick for during the day