Making character reusable and self-contained?

I created a character for a 2D game, and it's working good, but I'm having a hard time figuring out how I would go about creating a clone of it, say for a 2 player game.

I see there's the "duplicate" context menu, but as it is, my character is currently a child of what's currently the only scene in my to-be game, and I get the feeling that it's not the right way to do it. I'd expect the character to be able to exist even if there was no scene defined in the game.

Am I missing something here?

Thanks in advance.

 

Perhaps what you want is to make it a Prefab.

 

Yeah, I had a feeling that was going to be the answer.
I've seen Prefabs mentioned but hadn't looked into it.
I'll take a look.
Thanks!