Moving files to Azure

We are looking to movie files, not just back them up to Azure.  We have an on-prem server that we use as a file repository.  We would like to accomplish the following

• Is there a way to configure backup services, or another app, to move the data to the cloud, not just create a backup?  I would like it if the program could pull the files and folders off the on-prem server, to make room, and store them in the cloud.
• Can we configure it so the data is moved after a certain time frame say everything after 6 months, based on file modification date, is moved to the cloud?