DEDE は検索バーをどのように統合しますか?

<div class="search-bg">
  <div class="inner">
    <div class="search-form">
   <form role="search" method="get" id="searchform" name=bf onSubmit="bottomForm();return false;">
<script> 
function bottomForm(){
var $=document.bf.key.value; 
var $2=document.bf.sto.value; 
if(document.bf.sto[0].selected)window.open("https://www.baidu.com/s?wd="+"site%3Abnxb.com+"+$); 
if(document.bf.sto[1].selected)window.open("https://www.google.com.hk/search?hl=zh-CN&source=hp&q="+"site%3Awww.bnxb.com+"+$);
if(document.bf.sto[2].selected)window.open("{dede:global.cfg_basehost/}/app/search.php?kwtype=1&keyword="+$); 
else window.open("{dede:global.cfg_basehost/}/app/search.php?kwtype=1&keyword="+$+"&typeid="+$2);
return false} 
</script>
<input name="key" id="s" class="s" value="请输入关键词开始搜索!"onClick="this.value = &#39;&#39;;" style="background-color: rgb(255, 255, 255); color: rgb(153, 153, 153); opacity: 0.8664601413572597; background-position: initial initial; background-repeat: initial initial; "onKeyPress="javascript:if(event.keyCode == 13){query(this.value);}" x-webkit-speech="" type="text">
<SELECT class="search-select" name="sto" id="search-option"> 
               <option value="0" class="search-select-option">百度搜索</option>
               <option value="1111" class="search-select-option">谷歌搜索</option>
   <option value="2222" selected=&#39;1&#39; class="search-select-option">全站搜索</option>
{dede:channelartlist typeid=&#39;top&#39; }
{dede:type} <option value=&#39;[field:id/]&#39;>[field:typename/]</option>{/dede:type}
{dede:channel type=&#39;son&#39; noself=&#39;yes&#39;}
<option value=&#39;[field:id/]&#39;>--[field:typename/]</option>
{/dede:channel}
{/dede:channelartlist}
</select>
<button id="searchsubmit" class="btn">搜索</button>
</form>
    </div>
    <div class="tagscloud"> <span>快捷搜索：</span> 　{dede:hotwords num=&#39;5&#39;subday=&#39;30&#39; maxlength=&#39;10&#39;/}   </div>
  </div>
</div>

/*search-bg*/
.search-bg {background-color:#F5F5F5; width:100%; padding:20px 0; display:none;}
.search-bg.search-open {display:block;}
.search-bg .inner {overflow:hidden;}
.search-form,.search-form input {float:left;}
.search-form .s {background-color:#fff; border:1px solid #ddd; height:22px; line-height:22px; padding:5px; font-size:0.875em; width:500px; border-radius:3px;}
.search-form button {border:none; background-color:#1e82aa; color:#fff; height:32px; padding:0 10px; cursor:pointer; margin:1px 0px; border-radius:6px; font-size:1em;}
.search-form .search-select {background-color:#fff; border:1px solid #ddd; height:34px; line-height:34px; margin:1px 5px;}
.search-form .search-select-option {background-color:#E9EAEC;font-weight:bold}