Your internet presence is basically every single page, blog, social media platform and listing that you have online. The best way to handle your internet presence is to start by creating your own website with your own domain and hosting. Then you can continue the process of expanding that presence with the use of social media.
After you have done this, you can start guest posting at blogs and looking for good directories to list your website and expand your presence even further. This is going to allow you to increase your chances of being found by clients.