You can absolutely do that. If you want to upgrade to a paid plan to get some of the features you want, then you can switch at any time through the My Products option in your account or with the help of a GoDaddy Guide. Once you upgrade your site will have all the same customizations and work that you've already put in place, just with the added features. See Website Builder plans and pricing for more info.
BigCommerce offers a website builder that easily links with social media and other selling platforms like eBay. They offer unlimited bandwidth and fast connection times for your customers. A shopping cart is included and ever offers the ability to email customers that abandoned items in their car. In addition, SSL certificates are free with any of their plans.
One downside of most of these services is that, should you someday want to move to another web host, you'll likely be out of luck because of the custom code they use to display your site. Only a few of the services here let you take your site to another web hosting service: The most complete example of this is Weebly, which lets you download the standard site server folders. Squarespace offers some transferability by letting you output your site in standard WordPress format. As you might expect, the same transferability holds for WordPress.com.
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