I'm a bit confused as to what you're asking. The word "Search" is a direct link to the search.php page. I used CSS to make it not really look like a link, but it's just a standard hyperlink. The search field is in a simple form which calls the search.php page. If you are running a vBulletin board, you could put the following wherever you want:
<form action="search.php" method="post">
<input type="hidden" name="do" value="process" />
<input type="hidden" name="showposts" value="0" />
<input type="text" name="query" />
<input type="submit" value="Go" />
</form>
Then, just play around with CSS to make it look the way you want

Notice that when you do a search, a list of threads is returned. If you change the showposts attribute to 1, a list of individual posts will be returned. Your preference
Also, since it's just a regular ol' form - that HTML code can go anywhere ... within a vBulletin template or on a regular HTML page.
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