Go to: http://developers.facebook.com/docs/reference/plugins/like/ and in the form to generate the "like" button code, select the "standard" layout. If you want to style this even further, you may need to use javascript to changes things up on the page after the Facebook like button is added to your DOM.
I have been there and pasted the code to get it going on the site I am working on. So exactly which part of the code
<div id="fb-root"></div>
<script>(function(d, s, id) {
var js, fjs = d.getElementsByTagName(s)[0];
if (d.getElementById(id)) return;
js = d.createElement(s); js.id = id;
js.src = "//connect.facebook.net/en_US/all.js#xfbml=1";
fjs.parentNode.insertBefore(js, fjs);
}(document, 'script', 'facebook-jssdk'));</script>
<div class="fb-like" data-href="http://www.anysite.com" data-send="false" data-layout="button_count" data-width="450" data-show-faces="false" data-font="segoe ui"></div>
needs to be changed to remove the count?
I solved it using Share This http://sharethis.com
North America
Europe, Middle East and Africa
Asia Pacific