Embedding video on WordPress

I’d like to know a way to embed a video on WordPress, considering the following:

-I don’t want to use YT embed since I don’t want to show related videos at the end or YT branding
-I tried using Google Drive – but you can’t set a preview image or timestamp of video to display when the player isn’t playing
-I don’t want to host the video on my hosting as this would affect load time
-I’m trying to avoid expensive video hosting
-I’d like to avoid installing any additional plugins

Any recommendations?

The page I need help with: [log in to see the link]