To add chalky.town to your phone, you'd follow these instructions after going to chalky.town in safari

Turn a website into an app in Safari on iPhone
In Safari on iPhone, get an app-like experience from any website.
https://support.apple.com/guide/iphone/open-as-web-app-iphea86e5236/ios

Then once you open it, you sign in by clicking the little profile guy in the top right and entering whatever your handle is on bluesky & leaflet. It'll use the same account.

Then if you're feeling gung-ho and want to change for handle from whateveritis.bsky.social to one of:

  1. 1.

    your own domain you can follow this guide

How to verify your Bluesky account - Bluesky
Here's how to verify your Bluesky account by setting your website as your username.
https://bsky.social/about/blog/4-28-2023-domain-handle-tutorial
  1. 2.

    if you'd like something like @eddie.laugh.town - lmk and I can help set that up. I believe I just send an invite link and you claim it or something like that.

My general recommendation is #1 though. I'm a big "have your own domain" fan haha.