I'll try to answer a few of your questions that haven't been answered yet.
Yes, there is a difference in chick and adult feeders (although you can probably use an adult feeder for chicks). I think it's easier to use the long, metal or plastic feeders that have about ten holes (five or so along each side) for the babies. They make less waste that way. I also found, personally, that keeping the feeder up (like on a piece of wood) helps to keep the waste down. They are really messy eaters!
Chicks can drown in their waterers. People often put marbles in the water for a week or so to let the chickens get larger and then take the marbles out. I would use a small waterer to start with and get the larger five gallon size when the chicks are closer to adult size.
Chicks can also be suffocated in corners so for the first couple of weeks or so you should put something in the corners to keep them 'rounded' so the chicks can't pile up there on top of each other.
Feed doesn't store for very long. Generally a few weeks, so I would wait until the week you are certain you are getting your chicks and then get their feed. Yes, there is special feed for chicks, it's called "chick starter", at about 8 weeks old they change over to "chick grower" and then, when they start to lay eggs they get "layer feed." I personally like the layer pellets, there's less waste.
Never use cedar shavings - that's toxic to chickens. Pine shavings are perfect for their bedding. When you first get baby chicks you will want to put some paper towels (not newspaper - too slippery) on top of the pine shavings for maybe two or three days. That way the chicks will learn what is food to eat and that the bedding isn't to eat. You can then take away the paper towels and they will be fine.
Keep their bedding dry! That can be a tough one as they do make a mess of things.
When you use the heat lamp have it at one end of their cage so they can get away if it's too hot. You can tell if the temperature is good by watching and listening. If they are all huddled under the heat it's too cold, if they are all away from the heat they are too hot. If some are under the heat and some away from it, it's probably just right.
If I've messed up with any of this info someone can set me straight.