Deploying LogicApps with VSTS is easy. You can create a new project using the steps defined in this post and you are all set with deployment settings in place.
But, when you add more and more LogicApps your JSON file will grow and you might be better off putting each LogicApp within its own JSON. Not to speak of the parameters running wild within your files…
This post will explain how to set this up, and what is needed in your VSTS builds to enable the deployment of all the linked apps.