Azure Services :

• Azure CDN for increased performace by providing content to the users faster. Learn More Azure CDN
• Azure Blob Storage to host statc website content. Learn More about Blob Storage
• Azure Functions to provide a Https trigger to store site counter. Learn more about Azure Functions
• CosmosDB to store counter data. Learn more about CosmosDB
• Github for CI/CD intergration. Learn more about Github CI/CD

Thoughts :

This is an amazing project to begin with for people starting to get into cloud technologies. I would highly recommend following this tutorial from ACG. Building and hosting a website in Azure

Since the video is over 2 years old, there are a few things that you'll have to research and troubleshoot as It's not going to be as straight forward on some parts. This is a good thing as it will teach you how to debug and search for solutions.