Create a new workspace in Eclipse

I use File -> Switch Workspace -> Other... and type in my new workspace name.

(EDIT: Added the composite screen shot.)

Once in the new workspace, File -> Import... and under General choose "Existing Projects into Workspace. Press the Next button and then Browse for the old projects you would like to import. Check "Copy projects into workspace" to make a copy.

In Window->Preferences->General->Startup and Shutdown->Workspaces, make sure that 'Prompt for Workspace on startup' is checked.

Then close eclipse and reopen.

Then you'll be prompted for a workspace to open. You can create a new workspace from that dialogue.

Or File->Switch Workspace->Other...