The right side is called the side bar, it can also be on the left side :)

To enable Mooble, you have to crack open your skin. Your skin has a name, the default is 'custom'. Note the name of your skin (you can also look for it in the back office) and find the folder where your skin is located. This is in the ../blogs/skins/ folder, wher you look for a folder with your skin's name (e.g. ../blogs/skins/custom/).
In this folder you find a _main.php file. Open this file with the editor of your choice or Notepad.

Somewhere halfway this file you find:

<!-- =================================== START OF SIDEBAR =================================== -->

That's the sidebar. In your post you mentioned you want Mooble on the bottom, so you look for the item where you want Mooble, like

<p class="center">powered by<br />
<a href="http://b2evolution.net/" title="b2evolution home"><img src="<?php echo $rsc_url; ?>img/b2evolution_logo_80.gif" alt="b2evolution" width="80" height="17" border="0" class="middle" /></a></p>

</div>

You will want Mooble just above this piece. So you enter this code before the snippet above:

<div class="bSideItem">
... The code from Mooble comes here ...
</div>

Now save and upload the _main.php file and it should work.

Good luck