Where to start, eh... well, first of all,
! You've gotten some good suggestions on where to start reading up, but if you want the nitty gritty, here you go.
1. Basic things you need to raise chicks: somewhere to keep them safe and indoors for the next 6 weeks (a large dog crate, wading pool with screen over the top, a big cardboard box, etc) a feeder and waterer that they can't step in or drown in, a heat lamp or other heat source (I use my plug-in space heater), litter/bedding (pine shavings, shredded newspapers, straw, etc), and chick starter (feed). Then, get chicks!
2. The chicks will need to be inside for at least six weeks, until they get adult feathers. Then they can be moved into your run.
3. Once they get to that point, or once they eat up their chick starter, you can switch to feeding them pullet developer or even adult food. They will also appreciate bugs, greens, veggie/fruit peelings, yogurt, oatmeal, etc.
4. They will start to lay somewhere around 5 months old, but this depends on the breed, the weather, the food, etc.
Did I forget anything?
Good luck and have fun. Chickens are awesome!