Re: What counts as "milk"?
The nurse gave you information for a formula-fed baby, not a 12 month old breastfed toddler. Breastfed babies typically take 19-30 oz of milk per day (see http://kellymom.com/bf/pumpingmoms/pumping/milkcalc/), and once solids are a part of the baby's diet the baby's breastmilk intake can be expected to gradually decrease.
Keep nursing, give him yogurt and cheese for daycare, and you're good to go!
ETA: in case you're tempted to offer juice for daycare, don't. It's super-bad for his teeth. Let him drink water if he won't drink expressed milk or cow's milk.
Coolest thing my big girl said recently: "How can you tell the world is moving when you are standing on it?"
Coolest thing my little girl sang recently: "I love dat one-two pupples!"