Check with you local government, you will probably need separate kitchen facilities in your home to do this. What are you going to sell? Who will you sell it to? How will you get it from you to them? Possibly set up booth at a fair/flee market to start.
First you need to gather your ideas and pick a name for your company. Decide who your target audience will be and get going making flyers, business cards, and placing free ads. Starting a business can be very costly. You also need to check with your local court house to see what type of license that you may need.
The best way to start any sucessful business is to write a business plan. Then go to your local city or town hall to obtain a business license. You will also need to talk to an insurance agent so see what types of insurance your business will need. Finally, start making samples of your food and marketing to your customers.
Check with your state about legal/equipment requirements (some require a separate kitchen when you serve the public). An attorney can help you with the federal/state forms.
The most imporatnt factor in a business like this is having clients. You can setup your business under your own name and you can be a sole proprietor, other than that, setup your prices and menus ahead of time and you should be ready to do business