IMO, the first step should be a good CI build system TFS or TeamCity can both pull from Git to do the build. TeamCity can also do the deploy, but you have to setup all the steps manually. If TFS is used, then ReleaseManagement is the Microsoft deployment tool. Another deployment option is OctopusDeploy.

Doing the build locally from Visual Studio is problematic and can cause issues. Generated binaries and NuGet-able binaries should not be stored in version control. Git is especially bad at binary files.


>So far, those deployments were doing manually combined with some automated tools. TFS was not involved up to this point. So, the compiled modules were generated from VS. Then, a tool was used to backup, push to various servers, save images of deployed code in-time, create directories, auto login to remote servers, and so on.