You can send your followers to your content that includes affiliate links or, if you have established trust, you can try to directly send them to the product page. If you dont have a website, I dont recommend creating a Facebook page just for the sake of using it for affiliate marketing.

Can I promote affiliate marketing on Facebook?

Before exploring affiliate marketing on Facebook, you might be wondering, “Can you promote affiliate links on Facebook?” Yes, you can. Posting affiliate links on Facebook complies with its terms of service.