If you are self-employed you are the owner of your own business. You are in business for yourself. A company that pays you for work that you do for them is your customer. But the business that you report on your tax return is not your customer's business. You report your own business.
You can use any version of the CD/Download TurboTax software to report your business income, but Home & Business will give you more help and a more detailed interview for business income.