Hello pullp,
Sebastian is referring to a file stored inside the same folder I originally pointed you to. In the case of a fresh DNN installation, that folder would be, for example: <RootDir>\Portals\_default\Skins\DNN-Blue. Within that folder you will find a file called skin.xml.
Within that file you should look at the following lines, and change them to suit your needs:
<Object>
<Token>[LANGUAGE]</Token>
<Settings>
<Setting>
<Name>showMenu</Name>
<Value>False</Value>
</Setting>
<Setting>
<Name>showLinks</Name>
<Value>True</Value>
</Setting>
</Settings>
</Object>
Now, to be completely honest: My experience in skinning is a little bit limited. So my advice would be to change the 'showMenu' and 'showLink' in both places, this XML and the .ascx file I mentioned previously. If you digg this issue a little deeper, I am sure you will gain a better understanding of skinning techniques, and so should I... ;-)
However, HTH.
Saludos,
Alejandro.