Sue and Cyncie both have good advice. I would just add that reading through agency information on-line might help you focus, too, as well as actually meeting with an adoption attorney to review your options and the state of the law where you are.
I cannot tell you much about domestic adoption because we did international adoptions. (I did know one mom who adopted domestically then claimed she'd never go through the first three months again and later adopted internationally the second time. ;b But I can certainly understand wanting a newborn and having that experience.)
I think you'll find yourself drawn to an agency or law firm or type of adoption, and there will hopefully be someone here to help with any specific questions you may have at that point.
Good luck!