Whether or not you have a website, people will still Google your business. If they don't Google your business, they will Google your name. You want to take control of your online image. You don't want to have your business identity intermingled with what you do online at leisure. Creating a website allows you to manage what people see when they Google you. You may want to use an alias for leisure activities, so that your name only has a clear association with your business.
If you're not techie, you may want to outsource the creation of your website. Building a professional website is not for the faint at heart. You'll want to create a site that is friendly and informative, and able to viewed on different browsers. You should also consider buying your own domain name, which further establishes your brand and lends credibility to your website.