If you do not have a YouTube channel, you are missing out.   Google owns Youtube and wants to deliver featured videos in their overall search results. 

Do not let creating videos intimidate you.  Even a 1 to 2 minute teaser video that you shot with your phone will get indexed. 

TIP: When shooting YouTube, make sure your phone is turned horizontal.
[When shooting live on Facebook, vertical is the preferred format] 

Once you upload a video to YouTube, rather than providing a link to that video on Facebook, you would want to upload the video directly for the Facebook video library. Kind of an internal FB video search engine thing.