AI tools let you build a website in an afternoon, but each one handles your domain differently. Lovable publishes to a free lovable.app address and only connects your own domain on a paid plan, though you can sync the code to GitHub and host it yourself instead. Bolt publishes to its own hosting or to Netlify, where you add your domain in the domain settings. Google AI Studio is free to use, publishes to Google Cloud Run, lets you deploy two apps without a credit card and gives each one a free ai.studio subdomain, though pointing your own domain at it means mapping it in Cloud Run.
For a simple one-page site, you can skip builders entirely: ask Claude or ChatGPT for a complete HTML file, upload it to hosting you already pay for, and point your domain at it. Whichever route you take, register the domain in your own name, keep the DNS where you can reach it, budget for the monthly subscription as well as the build, and remember that no builder gives you business email. That still needs your hosting, Google Workspace or Microsoft 365. Built something already? We will get it onto your own domain, with email working and search engines able to read it.