In order to embed video with a specific player on a website, go to Media files page
Click on the share icon and chose Iframe.

You can click on the Share settings to choose a different player or cname than the default one.

Go back to the Iframe tab to see and copy the Iframe embed code using the button Copy iframe code.

After copying the embed code paste it on your website.
If you are using WordPress you can insert it in a custom HTML block.