So I was concerned that with the increasing load, the TwinsOrNot.net would end up having problems. But it looks like I overestimated things a bit.
The site is hosted as an Azure Web App (by far the easiest, simpler way of hosting a website, honest) and one of the features this platform offers is auto scale. So I’ve set it so it would spin up more instances if things got too busy.
But a few hours after launch and having reached something around 230 thousand users, using the S3 pricing tier the server is sitting comfortably with 13% CPU usage and just one instance. Phew!