To promote your launch on Product Hunt, the launch checklist suggests leveraging various channels. These include social media platforms like Twitter, LinkedIn, Facebook, and Instagram, where you can share announcements and engage with your existing audience. Email marketing is another effective channel, allowing you to reach out to your subscriber list and personalize your launch announcement. Engaging with relevant communities and forums, collaborating with partners, and creating valuable content also play a vital role in promoting your launch. By utilizing these recommended promotional channels, you can increase visibility and attract more users to your Product Hunt launch.