Add field to dashboard to update embedded URL on homepage?

Add the below code in the functions.php file and it will create a text field in the general setting options page

add_action('admin_init', 'embed_url_initialize');

function embed_url_initialize() {

    // First, we register a section. This is necessary since all future options must belong to one. 

    add_settings_section(

        'general_settings_section',         // ID used to identify this section and with which to register options

        'Embed Url Option',                  // Title to be displayed on the administration page

        'embed_url_general_options_callback', // Callback used to render the description of the section

        'general'                           // Page on which to add this section of options

    ); 

    // Next, we will introduce the fields for toggling the visibility of content elements.

    add_settings_field( 

        'video_url',                      // ID used to identify the field throughout the theme

        'Enter Video Url',                  // The label to the left of the option interface element

        'video_url_callback',   // The name of the function responsible for rendering the option interface

        'general',                          // The page on which this option will be displayed

        'general_settings_section'         // The name of the section to which this field belongs



    );

    // Finally, we register the fields with WordPress

    register_setting(

        'general',

        'video_url'

    );
} 

/* ------------------------------------------------------------------------ *

 * Section Callbacks

 * ------------------------------------------------------------------------ */
/**

 * This function provides a simple description for the General Options page. 

 *

 * It is called from the 'embed_url_initialize' function by being passed as a parameter

 * in the add_settings_section function.

 */

function embed_url_general_options_callback() {

    echo '<p>Please enter the embed url.</p>';

} // end embed_url_general_options_callback



/* ------------------------------------------------------------------------ *

 * Field Callbacks

 * ------------------------------------------------------------------------ */

/**

 * This function renders the interface element for input embed url.

 */

function video_url_callback($args) {

    $html="<input type="textbox" class="regular-text" id="video_url" name="video_url" value="" . get_option("video_url") .'" />';    

    echo $html;
} // end video_url_callback_callback

then call the below code in the template file where you want to get the embed video

<?php if(get_option('video_url')) { 
    $embed = wp_oembed_get( get_option('video_url') );
    if( $embed ) {
        echo $embed;
    } else {
        // The embed HTML couldn't be fetched
    }
 } // end if ?>