Did you setup a dynamic product ads campaign on Facebook? That is a good way to remarket to people who have been to your site. We have a couple clients who target parents and Facebook + Google have been their best channels. Have you looked into Google Shopping? Google Shopping is a great way to start people who are searching for what you sell in your store. You can use the Google Shopping app in Shopfiy to get your products/SKUs into Google Merchant Centre to help get your products up on Google Ads.
It's true, you need to start remarketing! It works best on FB with Dynamic Product Ads - you target your site visitors/cart abandoners with ads of the exact products they left behind at your store, so there's no shooting blanks at whoever may care ;) If you don't plug all your holes in the sales funnel, you're just burning your money - the cart abandonment rate is about 80%, crazy! If you're a bit overwhelmed with Facebook Business Manager, try an app for remarketing automation, like AdMonks - it makes it super easy to run such campaigns, just a few clicks.
There's a case study on remarketing with some tips, maybe you'll find it useful:
Upon checking your website, it doesn't have any technical problem in SEO.
Upon checking the product page, I suggest to you to make at least 1 paragraph description of each toddler clothes.
Just make it a story of your each selling toddler clothes. This could be key to convert into sales.
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