A brief overview for you -
On a Mac there is always at least one user account. The first such user account got created when you installed your Mac the first time you turned it on. That first user account is always an admin account because it has administrative privileges on your Mac. In System Preferences > Users & Groups you can create more users; if you give them administrative privileges they are also admin users; if not they are regular users that do not have administrative privileges.
Every user account on a Mac has an account id that you use to log onto your Mac; generically it's called a login id and every user account on your Mac has one. And of course since your user account is an admin account you could call your "login id" an "admin id."
Your Apple ID is a different thing. It is independent of user id's on your Mac but you can associate it with one or more of the user ids on your Mac. Your Apple ID enables you to install macOS, updates and upgrades; sync photos, music and other info between your Mac and other Apple devices you may own (other Macs, iPhones, iPads, etc); use iCloud; purchase, download & install apps from the Mac App Store; purchase music, movies & TV shows from Apple; access Apple Communities and more.
The Keychain is a database on your Mac where the system stores your various id's, passwords and other system information. Normally you do not need to do anything with the Keychain and it's advisable not to go poking around in it unless you have a thorough understanding of the Keychain and how your Mac uses it.