I got a Schlage, as recommended by Digital Blue's guide, but I am running into a problem that I'm sure is both basic and silly, but nonetheless stumps me.
He directs to Illusion's guide to re-pinning a lock, and Illusion's first step is to remove a small metal ring around the lock, and then to "push out" the cylinder. I am entirely unable to find this little metal ring and, beyond that, am unsure how I would go about removing the cylinder anyways. I'm also somewhat afraid I may have bought the wrong kind of lock. I just picked a cheaper, keyed on one side, Schlage deadbolt. A picture of the full thing in package is below.

I pulled out this piece

Because I figured it was the only section I needed (i didnt see either the deadbolt attachment or the inside latch/switch in Illusion's tutorial) Here is the backside of this piece (a couple pictures below; I'm not sure what area I should be focusing on)



Essentially, I was looking for some help with what I am missing. Is the metal piece here? The body and rear of my lock look much different from those in the tutorial, and I was also wondering if I even picked the right kind of lock, or if I should just return it and buy a "replacement cylinder" instead.
Or, if I need more parts of the lock than I've been using, or something similarly obvious. I really appreciate any help anyone can give me as to how to pop out the cylinder and begin training one pin at a time, as I'm completely stumped.
Thanks in advance.