There are many ways that you can:

– You may advertise your affiliate links on chess forums.
“I found an interesting chess site. I have improved my rating from the videos and material there. Check out these video lessons by GM Smirnov: https://chess-teacher.com (insert your affiliate link instead)“.
You may write something similar, or your own text.

– Send them to your chess friends by e-mail.

– You may place information about my site and your affiliate links on social networking groups/sites (such as Facebook, Twitter and Instagram).

– Some websites allow free advertising.

– You can take part in discussions (chess servers/ internet chat rooms provide this function) and tell someone about the courses.

-Promoting my free lessons

1. Subscribe for my free lessons on my site (if you haven’t done it already): https://chess-teacher.net/improve-chess-instantly/

2. Then you can place my free lessons (which you will get after the subscription) on different chess sites.

+ You may place my FREE video lessons on different video portals (youtube.com, vimeo.com and others). You can easily find different video sites using https://google.com

+ You may place my free lessons (video and text articles) on different torrent sites.

NB!:
You should NOT spam! It is very important. You need to place your advertisement in the appropriate place and not just anywhere.

For example (especially in forums):
+ There may be a section like “advertisements” or “commercial offers”.
+ Also there may be a section for discussing “chess products” , “tutorial materials” , “chess coaches”, “chess books”, or “chess videos” etc.