In this case should webdesigne use Drupal hook function. All is done in your template.php file in theme folder, but you have to copy into folder of your theme file 'search-result.tpl.php' from search module folder too. This PHP snippet is from http://koobmeej.blogspot.com/2008/10/theme-drupal-search-results.html and implementation is for ZEN theme in Drupal 6.

• Add to section 'Implementation of HOOK_theme()' this code:

$hooks['search_result'] = array(
  'arguments' => array('result' => NULL, 'type' => NULL),
  'template' => 'search-result',
  'path' => drupal_get_path('module', 'search')
);

• And at the end of template.php file add:

function phptemplate_preprocess_search_result(&$variables) {
    $result = $variables['result'];
    $variables['url'] = check_url($result['link']);
    $variables['title'] = check_plain($result['title']);

    $info = array();

    /* HIDE THIS FROM END USER
    if (!empty($result['type'])) {
       $info['type'] = check_plain($result['type']);
    }
    if (!empty($result['user'])) {
       $info['user'] = $result['user'];
    }
    if (!empty($result['date'])) {
       $info['date'] = format_date($result['date'], 'small');
    }
    if (isset($result['extra']) && is_array($result['extra'])) {
       $info = array_merge($info, $result['extra']);
    }
    */

    $variables['snippet'] = isset($result['snippet']) ? $result['snippet'] : '';
    $variables['info_split'] = $info;
    $variables['info'] = implode(' - ', $info);
    $variables['template_files'][] = 'search-result-'. $variables['type'];
}

• Don't forget copy search-result.tpl.php into your theme folder.
• Don't forget rebuild theme registry.