The first point to elaborate is the design of both the shopping carts. This battle is won by Shopify. Shopify offers a more easy-to-use and easy-to-customize designing format as compared to BigCommerce. Though customization is possible in BigCommerce too, the interface is quite complicated and web designers will ask more money to make it the way you want it to be. Similarly, the designs of both the sites are not very simple. However, when comparing the two, Shopify again wins the battle. Shopify is simpler to use in contrast with BigCommerce, the latter which is designed for more marketing-oriented professionals.
However, when it comes to product management, Shopify is not as impressive as BigCommerce. Even though the product management options in Shopify might well suit you due to their simplicity, it has recently been observed that it is not quite rewarding. Instead, BigCommerce gives a better opportunity to customers to choose before going through with their purchases.
The import and export feature is the next big thing. With Shopify, this might be a little difficult. BigCommerce will be able to handle shipping no matter the continent you currently reside in. The International shipping options will help this. The company that handles all the shipping resides outside America, therefore there is no question of whether the shipment will reach outside America or not. On the other hand, Shopify might not be that efficient. For example, it is not able to provide shipments to Europe and Australia.
In general, customers have found BigCommerce to be better than Shopify because of many reasons. Even despite the problems in the software, BigCommerce still remain better than its other counterparts.