This requires Font Awesome 5 being installed on your site (but it'd be pretty easy to swap that for any other library as needed).
First add the following jQuery w/e you are including scripts on your site
Next follow the steps below to add the video to your page.
1. Place the following div container wherever you'd like your video to be located
<div class="youtube-iframe" data-embed=""></div>
2. Get the video ID from the YouTube URL
3. Add the ID to the YouTube div
<div class="youtube-iframe" data-embed="dQw4w9WgXcQ"></div>