There are many ways to promote your business. Etsy offers some free marketing. Etsy has a blog with free marketing advice for new Etsy sellers, including Etsy 101 articles. Etsy also offers live help during the normal workweek.
You can also purchase Etsy's Marketing Package to promote your Etsy shop. The Marketing Package includes email marketing, advertising, and special discounts for Etsy purchases.  Etsy also offers Promoted Listings for Etsy sellers who want to promote their products on the platform.
To determine the best marketing campaigns for your business, it's important that you know your target audience. You can use Etsy Analytics to learn more about what your Etsy customers are interested in and how they behave on Etsy.
You can also make use of the free Etsy posts on tips and tutorials on their blog on topics like branding your Etsy shop, running successful promotions, increasing sales with SEO, promoting with social media channels like Facebook and Instagram.