Tags overlap?

first change, in style.css:

.tags {
	position: absolute;
	right: 30px;
	top: 25px;
	padding-left: 20px;
	background: url(images/tags.gif) no-repeat 0 4px;
}

replace ‘absolute’ with ‘relative’, then the tags don’t overlap any more.
next step, search single.php for something similar to:
<?php the_tags( '<p class="tags">Tags: ', ', ', ' </p>'); ?>

and move this to a position further down before something with ‘comment’.

make a backup copy before attempting any changes to your files.

if in doubt, copy the single.php into a pastebin, and post the link here 😉