Page template question

Ok, first of all, please be gentle with me, I’m so clueless, I just don’t get a thing right now. I’ve been reading up and down the WordPress Codex page, but maybe I’m just too stupid.
So I tried to create a page using wordpress, and that is all well, if I liked the template it comes with, and I have no idea how to change it. In the dropdown box under the text field, where it says add custom field, all I can choose is _wp_page_template. Don’t know where this _wp_page_template has it’s coding stored.
The page I tried to create is here and there’s some stuff I’d like to get rid of.
<div id="c-col">
<div id="banner">
<h1>Welcome To Silent Dreams!</h1></div>

<div id="content">
<!-- end header -->

<div class="title">Saturday ::: February 19, 2005 ::: 09:25 am ::: Adoptions</div>
<div class="post">
<div class="storycontent">
<!-- center column -->
and
<div class="divider">�</div>
<table width="100%" border="0"><tr>
<td align="right">

</td></tr>
</table>

<!--
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#&quot;
xmlns:dc="http://purl.org/dc/elements/1.1/&quot;
xmlns:trackback="http://madskills.com/public/xml/rss/module/trackback/"&gt;
<rdf:Description rdf:about="http://www.silent-dreams.org/?page_id=136&quot;
dc:identifier="http://www.silent-dreams.org/?page_id=136&quot;
dc:title="Adoptions"
trackback:ping="http://www.silent-dreams.org/wp-trackback.php?p=136&quot; />
</rdf:RDF> -->

</div>

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<!-- begin footer -->
</div>

Is anyone able to help me with this?

And in addition to that, did I misunderstand the permalink thing? Shouldn’t the page mentioned above be accessible through http://www.silent-dreams.org/adoptions/ ? ‘Cause that’s not working…