Thanks for reaching out today. That's a great question. If you want to include a video on your homepage, you can embed a video by adding some code into a 'Custom HTML' section in your theme editor. I actually created a screen recording, here that outlines how you can accomplish this. You can acquire the necessary code from this thread.
1) Upload the video into your Files section of your Shopify store. (Click "Settings" > Click "Files"). Make sure the video file is either a .MP4 or .WEBM.
2) Copy/Paste the code listed in the thread above into a 'Custom HTML' section. Paste the URL of the video in your files section into the code as shown in my screen recording. Be sure to delete the .WEBM code if you are using an .MP4 and vice-versa for .WEBM.
3) Upon saving the video should show up. This code is set so the video will autoplay and be muted by default. If you want sound on by default you can remove
from the code.
Let me know if that helps!