Styling up bullet point list in WYSIWYG

Hi,

Is it possible to customise the TinyMCE WYSIWYG control so you can style the Bulletpoint lists and links, for example add a class to the UL:

<ul class="mynewstyle">

<li>test</li>

</ul>

And also style links:

<a href="#" class="MyNewClass">Test</a>

I hope this makes sense,

Jon