use an if statement with the != comparison. != means Not Equal:
if($row_WADAProperties["ShortDes"] != "") {....}
<?php if($row_WADAProperties["ShortDes"] != "") { ?>
<p> Description: <?php echo $row_WADAProperties["ShortDes"]; ?></p>
<?php } ?>
<?php if($row_WADAProperties['imageOne'] != "") { ?>
<img src="PropsAdmin/images/<?php echo $row_WADAProperties['imageOne']; ?>" alt="<?php echo $row_WADAProperties['PicOneTitle']; ?>" width="227" height="198" class="Lefty PrettyPicSM" /><br />
<p> <?php echo $row_WADAProperties['PicOneTitle']; ?> </p>
<?php } ?>