The easiest and most common way to start building an audience for a website is via social media. Depending on your niche and industry, you can choose from Facebook, Twitter, Instagram, Pinterest and several other niche and location-specific networks. Building up an engaged and interested following on social media is a great opportunity to build relationships and once you have their trust, promote your products and services to them.
If you are building a site that has the potential for information that will never age and remain useful for your audience, you have the opportunity to create what is known as evergreen content. It's important to carry out extensive keyword research before planning any evergreen content for a site like this, as your site could hugely benefit from the proper usage of keywords within such content.
In addition to merchant-driven programs, there are also dedicated affiliate networks, such as Rakuten, Awin, CJ, and Pepperjam. These programs encompass several different merchants and thousands of products. This gives you access to multiple types of products, without needing to join lots of programs. Even eCommerce giants like eBay and Amazon have their own successful affiliate programs.
Tell your email list about it. If you have an engaged email list, and I hope you do, it will almost always outperform a blog post. You may choose to (sparingly) write a dedicated email about something you love, or just link to it as it fits naturally within your story. Or, add a P.S. to the bottom of your email if you have a special sale or coupon code to share.