If you run a business as a sole proprietorship, it would be appropriate to be identified in the contract as John Jones doing business as Jones Plumbing. If you organized your business as a Limited Liability Company, identifying your participation in the contract by your name could remove any personal liability protection that an LLC provides. Similar issues can arise with a partnership if each individual is identified as a party to the contract.
Describe your obligations, including the service you must perform to fulfill your obligations under the contract and be as detailed as possible. For example, if you are writing a marketing brochure for a customer, describe the length of the brochure, the purpose of the brochure and establish that you are only responsible for providing the text, and not the layout or design, for the brochure.