Embedding videos can be a tricky thing to do when it comes to both the web and different CMS's. When it comes to embedding videos in the content section - the body of the page - The Video Filter module offers an easy and great solution.
Basically, you install the module, configure it for the different text formats you want to use it with and then simply add the videos in the body text with a kind of shortcode or shorthand thingamajig.
In this video I'll go through what you need to know and how to get the videos to show in your content.
The Video Filter module only works as a text filter, so if you're looking for a solution where you can create embedded videos from a field of its own in Drupal, perhaps Video Embed Field could offer such a solution. (I'm just talking about Video Filter in this screencast.)
Version used in this screencast: 8.x-1.0-alpha2