I am working on a secret project [ ;) ] and decided that I'll use WordPress' internal categories and tags to group my products.
I didn't want to use an external plugin and here's the short snippet that I used in category.php

    
// because I am using the categories for categorizing the products.
    // Goal: Home > WordPress > Plugins
    if (is_category()) {
        $sep = ' » ';
        $home_page_link = "Home " . $sep;
        $category = get_the_category();
        $ID = $category[0]->cat_ID;
        echo '
' . $home_page_link . get_category_parents($ID, TRUE, $sep, FALSE ) . ' Showing Products' . '
';
    }

If you want to build the breadcrumbs based on the currently requested category use this.

    
/if (is_category()) {
       $cat = get_query_var('cat');
       $current_cat = get_category($cat);

       $links[] = "Home ";
     
       if (!empty($current_cat->category_parent)) {
           $parent_cat = get_category($current_cat->category_parent);
           $parent_cat_link = get_category_link($current_cat->category_parent);
           $links[] = "$parent_cat->cat_name";
       }
       
       $current_cat_link = get_category_link($current_cat->term_id);
  
       $links[] = "$current_cat->cat_name";
       //$links[] = "Showing Products";

       $sep = ' » ';
       echo '
' . join($links, $sep) . '
';
    }
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