Some people asked in the LANDR plugin discussion how to integrate a video into the homepage..Here is an easy and responsive way to do so:
1. Upload your video to youtube & copy the embed code from there

2. add this somewhere in your homepage´s code (e.g. in /var/www/public_html/mod/landr/views/default/page/layouts/landr.php)

        <div class="videowrapper">
                       <div style="text-align: center">
                            <iframe width="560" height="315" src="PASTE_HERE_THE_CODE></iframe>
                       </div>
        </div>

3. in css.php add: (e.g. in /var/www/public_html/mod/landr/views/default/landr/css.php)

.videowrapper {
    float: none;
    clear: both;
    width: 100%;
    position: center;
    padding-bottom: 60%;
    padding-top: 0px;
    height: 0;
    text-align: center;
}
.videowrapper iframe {
    position: center;
    top: 0;
    left: 0;
    width: 100%;
    text-align: center;
}

For more infos look into: http://stackoverflow.com/questions/15844500/shrink-a-youtube-video-to-responsive-width