You can flush resources/pages from the Peakhour CDN through the Peakhour client area. For more information see our support docs here.
If your site is a Magento store or Wordpress site then we have plugins that can automate content flushing for the majority of site updates. The plugins also provide manual flushing capabilities from within their respective admins. For more information check out our integrations page. If your CMS/ecommerce platform isn't listed then contact us and we can potentially write a plugin or assist you in integrating with our APIs.