RE: How much water do you give your 1 year old?
Starting at 1, I would give DD milk with her meals and water with snacks and when we are out (so if we are out for lunch, then she gets water with that meal, because I don't like dealing with worrying about warm icky milk or trying to keep it cold or whatever). If we are at someone's house for lunch (like for playgroups), then I just bring an empty cup and use some of their milk. I also give DD free access to water all day long so she can drink it as she wants to when she is thirsty.
I find that if I don't offer her water that she can get constipated by drinking too much milk when she is thirsty, because is also loves cheese!
M, mommy to A 2005, E 2007, and L 2010