Watch your baby. If it does not drink, gently pick it up and dip its beak into the water. You should only have to do this maybe two or three times before it gets the idea and will drink on its own. Of course, take care to just dip the end of the beak when doing this, as you don't want to drown the little guy. As the chick gets bigger, so the water dish can get bigger too.
Chickens are inveterate scratchers.
They will spend all day kicking and throwing the litter around. A lot of this stuff will end up in the water dish, so once the chick is big enough, raise the dish on a block and consider getting a covered water container. On the whole, chickens are remarkably hardy creatures and very adaptable. However, take a look at the difference in size between your little chick and your smallest child. Many chicks given as pets are in fact killed by kindness, by children wanting to hug and hold.