Julie,
I read some of the responses to your inquiry and found that so many of the moms had diaper services. All the moms I've ever talked to about cloth diapers have washed their diapers and say it's not that much more laundry.
I started CDing my daughter when she was a year old, so I don't know yet what it's like to have a newborn in them. However, I AM planning to CD my next child, which I just found out I'm going to have in 9 months, so it'll be a different world when I have 7-12 diapers a day to wash versus 3-5.
Right now I'm doing maybe 2 extra loads of laundry a week. It's not that hard to keep up with. And I could do even less if I had more diapers for her. And they can go in with anything that handles hot water. I use my regular detergent (kirkland free & clear for HE machines) and about a tablespoon of oxyclean on the hot water/stain removing/soak setting. The diapers come out clean every time and they don't smell.
As for types of diapers, there's prefolds, pocket diapers, all-in-ones. You can use covers made of wool, plastic, polyurethane-lined (PUL) polyester, fleece and so many others. There's organic ones, snap fastening, velcro (hook and loop) fastening, snappis (it's like a little rubber band with three claws for prefolds instead of pins).
Here's a cost comparison: http://www.diaperdecisions.com/cost_of_cloth_diapers.htm
It's amazing what you can save. Cleaning your own diapers will save you so much more money too. A friend of mine said her water bill only went up by $5 a month. I'll take that! And the more kids you have, the more you end up saving.
So far I use a fuzzi bunz, a bum genus 3.0, and a bunch of homemade diapers. I'm still perfecting my homemade designs, but there are patterns out there if you know how to sew.
Good luck!