None of this is related to which editor you are using. But, if you are using the default editor, you are using the FCK Editor, unless you have done something to turn it off.
To keep a container from displaying:
- Use the Transparent container from the Vortex Music skin. If my memory is correct, this container doesn't display the title, and it doesn't display anything else except for the contents of the module.
- Under Page Settings in Module Settings, uncheck the box that displays the container.
Of these two approaches, the first probably is best. The second is the "quick and dirty" solution that probably is fine most of the time.
As for the placement of the module, you will place it in a pane in the skin. If the pane is below the copyright, it will appear below the copyright. If you want it to be at the "bottom" of the page, but before the copyright text, you might want to place that module at the bottom of the Content Pane. You can also set a module like that to display on all pages, by checking the appropriate box under module settings.
If you want to add a special pane to hold that module, you can do it by editing the skin file.