Just like with traditional domain names, you can update the DNS settings for your Handshake TLDs. The DNS settings cite where a Handshake TLD should go to.
You can add NS records, TXT records, and DS records on chain to your Handshake TLD. In order to create your own subdomains (i.e. satoshi.nakamoto instead of just nakamoto/) you need to point your TLD to a nameserver. If you're a Namebase user you don't need to worry about this step because your names are already pointed to our nameservers!
The DNS settings for a specific name can be accessed on via the Domain Manager on your dashboard.