You will want to register your name with your local business registry in your county. It is very inexpensive. I think I registered my name for $50.00. You need to go to the Hall of Records or County Clerk's office or another building usually near or around the county court house. As far as domain names, you can register with website providers or have your webpage designed and they will help you register your domain name. I'm in the process of doing all this now, so I'm hoping that someone who's BTDT will come along with more details on how to proceed.