Here is how I solved the issue. Note that EasyBlog 5 still has major bugs when it comes to embedding videos.

I chose JCE under System Configuration and for EasyBlog.

There is a setting in JCE that lets you work with Iframe.

Here is how to do it:

In the JCE Control Panel, click on the Editor Profiles button.

Click on the Profile name that the user, usergroup or component is assigned to, eg: 'Default'

Click on the Plugin Parameters tab, then on the Media Support tab.

Check that the Allow IFrames is set to Yes.

The above instructions come from this webpage: https://www.joomlacontenteditor.net/support/faq/item/iframe-removed-on-saving

Next I used a third party product (Shortcode Ultimate) to actually embed the videos.

So I now have videos in my blog. EasyBlog 5 does not get any credit here. The developers need to work on this.

Rene