To set up a primary name server, there are a few key steps: 1. Install the bind package and ensure the named.conf file defines the correct directory, port, and IP addresses. 2. Open the named.rfc1912.zones file and create a definition for the domain to be served, such as example.com. 3. Create a configuration file for the domain in the /var/named directory and populate it with hostnames. 4. Configure the local resolver to point to the new DNS server and verify lookups are returning correct information.