How can i display the categories i want in checkbox ( ajax results)

I am searching on web how to build a search field with checkbox ( filter field )

Example : http://tvpedia.org/?gen=aventura&tara=sua

this is probably a confusing title of my question, please see the link link: http://www.linde.diviziatm.ro

In the administration area i have post_type – Locatii with categories,the categories of post type are: Timisoara, Muntenia…and so on

If i check Banat and Muntenia i want to retrive the content from Banat and Muntenia(post that are in that categories).

In Locations by region – are the checkbox simple

<div class="regiuni_ch">
<div class="reg_c"><input type="checkbox" name="banat" value="Banat"  id="cntGHIRODA" onmouseout="mapBlur('Timisoara','ro');" onmouseover="mapHighlight('Timisoara','ro');" /><span class="reg_t">Banat</span></div>
<div class="reg_c"><input type="checkbox" name="muntenia" value="Muntenia" /><span class="reg_t">Muntenia</span></div>
<div class="reg_c"><input type="checkbox" name="crisana" value="Crisana" /> <span class="reg_t">Crisana</span></div>
<div class="reg_c"><input type="checkbox" name="bucovina" value="Bucovina" /> <span class="reg_t">Bucovina</span></div>
<div class="reg_c"><input type="checkbox" name="maramures" value="Maramures" /><span class="reg_t"> Maramures</span></div>
<div class="reg_c"><input type="checkbox" name="transilvania" value="Transilvania" /><span class="reg_t"> Transilvania</span></div>
<div class="reg_c"><input type="checkbox" name="moldova" value="Moldova" /><span class="reg_t">Moldova</span></div>
<div class="reg_c"><input type="checkbox" name="dobrogea" value="Dobrogea" /> <span class="reg_t">Dobrogea</span></div>
<div class="reg_c"><input type="checkbox" name="oltenia" value="Oltenia" /> <span class="reg_t">Oltenia</span></div>
</div>

In Locaţii după regiuni i have:

<div class="ti"><b>Locaţii după regiuni</b></div>
<div class="linie"></div>
<?php $args = array(
    'show_option_all'    => '',
    'orderby'            => 'ID',
    'order'              => 'ASC',
    'show_count'         => 0,
    'hide_empty'         => 0,
    'use_desc_for_title' => 1,
    'child_of'           => 92,
    'feed'               => '',
    'feed_type'          => '',
    'feed_image'         => '',
    'exclude'           => '',
    'exclude_tree'       => '',
    'include'            => '',
    'hierarchical'       => true,
    'title_li'           => __( '' ),
    'show_option_none'   => __('Nici o categorie'),
    'number'             => null,
    'echo'               => 1,
    'depth'              => 0,
    'current_category'   => 0,
    'pad_counts'         => 0,
    'taxonomy'           => 'locatie',
    'walker'             => 'Walker_Category'
); ?>
<div class="regiuni">
<ul>
<?php wp_list_categories( $args ); ?>
</ul>
</div>

Anny sugestion on how to made this woud be apreciate. Thanks