Organize your videos into YouTube playlists. Adding videos to playlists allows you to organize videos you or other YouTube creators have posted. If you share a playlist with your students, when they are done watching a video the next video that will play will be from your playlist. (Under a video, click on the three lines with a plus sign.)
Insert YouTube videos into a slide. Insert > video and you can search or paste the link to the video and it will embed into your slides. Students will not see the surrounding videos while watching but they will still see suggested videos at the end or ads.
Safeshare.TV will allow you to paste a YouTube link and create a "clean" video link for your students to watch. You can create 20 links. Example
Add your video to a Google Form and post questions for your students. This is a great way to see what students are watching your videos. We have noticed glitches for importing grades with a form that has a video in it. You can still create a form but you will need to add the Google Form link to a Google Classroom assignment and look at student responses on the Google Form to get their grades.
Edpuzzle is a tool that allows you to embed questions within a video- multiple choice, open ended- you choose. You can even select from a library of edpuzzle videos that have already been created and tailor to your kids. Students would be interacting with video within EdPuzzle- no outside suggested videos. Try this one to see what it looks like.