Forgot my new iMac password need to recover and reset

Hi River-woods,

I believe this article will be helpful - https://support.apple.com/guide/mac-help/reset-your-mac-login-password-mh35902/mac

And yes, you can use the same password on different iMacs.

Cheers,

Jack

Change or reset macOS user account password - Apple Support

while it's not advised, yes, you can use the same password on two different macs.