Your Kubernetes cluster requires a hosted zone in Amazon Route 53 for DNS management and domain registration. To set up the domain, you need to get a domain, ensure proper DNS setup, and update the `config.json` file with the new domain name. The process of getting a domain can be done through purchasing an unowned domain, transferring an existing domain, or using a domain already in Route 53. Once the domain is under your control, you need to modify the `config.json` file to include the domain name and other necessary information. It's possible to use a subdomain of an existing domain as the base domain, but this process is beyond the scope of this guide.