There are many different ways in which you can integrate your store with Instagram which is a very beautiful and easy way to take and share photos using your mobile phone. You can add Instagram to your store by downloading an App from the Shopify app store or using some external Instagram widget provider.
If you are planning to use one of the apps that you can have a look at AuthetiPix which is available on the Shopify App Store. With this app you can moderate and display different views of Instagram images
You can also use any external Instagram widget but you will not be getting any support from the Shopify support team for the installation. Make sure that you are comfortable in making the changes to implement these external Instagram systems.