Short answer
Codex Sites is the default and usually the best host for a Codex app in 2026. It is now in public beta on ChatGPT Plus, Pro, Business, Enterprise and Edu plans, and it hosts websites, web apps and games with D1 (database) and R2 (file) storage plus built-in traffic analytics, so an internal or workspace app can ship without setting up a separate host.
The host changes only when a requirement forces it. Move to Cloudflare Pages when the app is static but needs a custom domain and public SEO. Move to Vercel when the app is a framework build with serverless functions, preview deployments or payments. Use Replit or Lovable when a same-day public MVP matters more than owning the source, and GitHub Pages when the output is plain static files and nothing else.