If you are a student, your best option for video hosting is to create a free YouTube account and upload your file there.
If you are working entirely from your phone, you will need to download the YouTube app.
Get it from the [iOS app here] or [Google Play here]
Here is a video explaining the steps.
If you would like to choose a thumbnail and access other features, you will need YouTube Studio.
Available at the [iOS app here] or [Google Play app here]
If you are uploading from a computer, this next video is for you.
Make sure that in your privacy settings, you select to make your video UNLISTED.
That way only those who have the direct link to your video will be able to find it.
Once you have your video uploaded to YouTube, follow these instructions for how to embed the video (or almost any other YouTube video) into your post/page.