How do I "Save as" a project?

Hello,

I'm working on a project using Eclipse Helios on my laptop and have gotten pretty far into it, though it's not at a buildable stage. I like the comfort of my couch (and my laptop in my lap) when coding, but recently wanted to transfer the project to my more powerful desktop, which has the same version of Eclipse installed.

But I can't figure out how to move the project so that I can see it on my desktop. I move it to the correct Workspace on my desktop, but it doesn't appear in my list of projects. I've tried "importing", but that just moves in one file from the project, and not the project in its entirety (so I can't click "Run" like I would on my laptop).

I know there must be some way to do it but can't quite figure it out.

Also, if I'm about to do a massive restructuring to a class, I would like to do a "Save as" or back-up somehow of the project before I go tearing it to pieces (as I inevitably need to restore parts if I screw something unintended up). I can't see any way to this in Eclipse, so just copied the entire project folder to a back-up, but then this back-up project isn't visible (I think for the same reason as the first question above).

How can I make my Eclipse recognize the projects in my Workspace folder? Hopefully this is an easy answer that I'm just missing. Any direction would be much appreciated!