It's still unclear as to what exactly you want, a right floated search bar with clear icon on input? I have created this fiddle for you, it replicates the behaviour of site you mentioned.
http://jsfiddle.net/DP22Y/
HTML
<div id="container">
<div id="utility">Utility</div><!--
--><div id="logo">Logo</div><!--
--><div id="search">LOGIN / REGISTER | CART (0)
<span class="clearable">
<input class="data_field" type="text" name="search" placeholder="Search..."/>
<span class="icon_clear">x</span>
</span>
</div>
</div>
CSS
#container{
margin:0 auto;
height:100px;
width:80%;
}
#utility, #logo, #search{
box-sizing: border-box;
color:#000;
height:100%;
float:left;
}
#utility{
background:#f1f1f1;
width:33.3%;
padding:10px;
}
#logo{
background:#e0e0e0;
width:33.3%;
padding:10px;
}
#search{
background:#e9e9e9;
width:33.3%;
padding:10px;
text-align:right
}
#search > #data_field{
margin:10px 0 10px;
padding:5px;
width:100px;
float:right;
}
span.icon_clear{
position:absolute;
right:10px;
top:0px;
display:none;
cursor:pointer;
font: bold 1em sans-serif;
color:#38468F;
}
span.icon_clear:hover{
color:#f52;
}
.clearable{
position:relative;
}
.data_field{
padding-right:17px; /* add space for the 'x' icon*/
width:100px;
}
jQuery
$(document).on('propertychange keyup input paste', 'input.data_field', function(){
var io = $(this).val().length ? 1 : 0 ;
$(this).next('.icon_clear').stop().fadeTo(300,io);
}).on('click', '.icon_clear', function() {
$(this).delay(300).fadeTo(300,0).prev('input').val('');
});
As far as the functionality is concerned, that is a different question altogether. That depends on what language you are using, do you want to make the results appear on page reload or without that using ajax, whats the db scheme etc. But the basic search would be something like this
- Wrap search field with a form
- Set an action and method for the form
- Action will be the page the search results will be shown on