This solution is for those who use Instagram to shoot pictures with their smartphone and then upload it to Flickr, there is now an easy way out. Instead of manually downloading and uploading your photos, you can use Flickstagram, a service that syncs your Instagram and Flickr accounts easily.
Go to Flickstagram, and log-in with your Instagram account and then click on ‘Authorise’. Next, the site will ask you to log-in to your Flickr account and click on ‘Authorise’. Then select the desired privacy settings, which will be then applied to the pictures you upload. After you have done that, you can begin the transfer by clicking on ‘Go’.
The time taken will depend on the quantity of data. After the process is complete, your Flickr page will have your pictures in a new album called ‘Instagram Pictures’. The best part of the service is that it also transfers all the additional information like the title, tags, comments and geo-information. The original data in Instagram will remain unchanged.