Copying clips and scenes from one timeline into another

I was asked to create a reel of my directing/DP work.

For this, I'd need to copy clips from the timeline of films I have made into the timeline of the reel library.

I have not found a way to do this.

I only found a way to copy whole projects - which does not work for creating a reel. I need the color corrected and edited sequence from a film to go into the reel footage.

How can I do this?

Do I have to copy all the projects into the reel library, and then create a reel timeline there, and copy from the project timelines into the reel timeline?