🚀 Feature: Rework the getting started flow & README.md docs

[JoshuaKGoldberg]

Bug Report Checklist

• I have tried restarting my IDE and the issue persists.
• I have pulled the latest main branch of the repository.
• I have searched for related issues and found none that matched my issue.

Overview

I'd like to rework this repo to be a bit more like the npx create-*-app experience from many other creators. But going through the README.md, the docs are a little convoluted. I want to:

• Streamline the README.md docs
• Better explain the intent behind (and differences between) "hydration" and "setup"
• Revisit the npx template-typescript-node-package experience so that it detects whether it's in an existing repo (hydration) or creating a new one (create), with a prompt moved to 🚀 Feature: Be able to initialize a new repository on the CLI (like create-* apps) #670

Additional Info

Assigning to myself as a blanket issue.

[JoshuaKGoldberg]

@bcherny was kind enough to add me as a maintainer on create-typescript-app. Once this rework is done I'll likely switch the name over.

[github-actions]

🎉 This is included in version v1.28.57 🎉

The release is available on:

• GitHub releases
• npm package (@latest dist-tag)

Cheers! 📦🚀