How do I obtain a new email address

Uh, your question is pretty vague. Based on what you ask you find an email provider and set up a new account with them. I have 4 or 5.

If you could narrow things down a bit it would save us posting long lists of anything possibly doing with "new email" in the Apple world. Here's one:

Add and manage email aliases for iCloud Mail on iCloud.com - https://support.apple.com/guide/icloud/use-email-aliases-mm6b1a490a/icloud

If you're asking about how to create a new Apple ID, you can find instructions for that here:

How to create a new Apple ID - Apple Support