You can embed any YouTube channel on your website using the unique YouTube channel ID. This can be found by viewing the channel page on YouTube and looking at the end of the URL. For example: https://www.youtube.com/channel/UCDPk9MG2RexnOMGTD-YnSnA.
You can also use the channel nickname or user name. For example: https://www.youtube.com/user/NationalGeographic