Is iOS 13 Available for iPod Touch?

The following iPod Touch and iPhones support iOS 13: iPod Touch (7th generation) iPhone SE. iPhone 6S and 6S Plus.

Which iPod touch support iOS 13?

Specifically, Apple’s press release notes that iOS 13 supports the “iPhone 6s and later” and that it also is “available with iPadOS for iPad Air 2 and later, all iPad Pro models, iPad 5th generation and later, and iPad mini 4 and later.”
…
iPhone Q&A.

How do I update my iPod touch to iOS 13?

Update iOS on iPod touch

1. Go to Settings > General > Software Update.
2. Tap Customize Automatic Updates (or Automatic Updates). You can choose to automatically download and install updates.