How did you name your business?

I'm in the process of naming my business. My initial business activities only include the sale of an ebook about saving money grocery shopping, but I plan to expand this business and offer other info-products related to family finances. I may also provide some consulting down the line. As such, I'm thinking I should come up with a business name that is a little more general than my website name, "GroceryBook.com" ... perhaps just using my last name and staying very general with, "Dorazio Enterprises"

I'd appreciate feedback about how you decided on a name for your business? Also, where do I look to determine whether a business name is available?

Thanks!

Vincent Dorazio
www.grocerybook.com