As a seasoned digital marketer, web developer, and Python guru, I can confidently say that choosing me to deploy your FastAPI project would be a wise decision. My extensive experience in projects involving Amazon Web Services for web hosting, SQL databases like MySQL, and deep proficiency in Python allows me to easily navigate through and deploy even the most complex applications, just like the one you've built.
With a keen attention to detail, I shall meticulously handle the whole deployment process, be it on your dedicated server or on any cloud service that better suits your requirements. In addition to my technical skills, I pride myself on prompt communication and delivering results efficiently; qualities crucial for meeting the needs of this project.
Furthermore, being well-versed in diverse e-commerce platforms like WordPress/Woocommerce and Magento - similar platforms to what you may need for buying a specific domain would only alleviate your post-deployment concerns. In conclusion, my broad skill set involving AWS, MySQL, Python, and deep-rooted experience will ensure a smooth transition from development to deployment phase without compromising on quality or performance.