If you are already using open source tools within your organization, a good way to start getting involved is to report bugs to those upstream projects when they

If you are already using open source tools within your organization, a good way to start getting involved is to report bugs to those upstream projects when they happen. If you want to contribute more directly I'd recommend with simple improvements to the documentation of a project that you use. While you might not be interested in documentation work in the long term it is a good way of becoming familiar with the project's specific process of merging new contributions. Once the first contribution has been made to a project it should be somewhat easier to navigate their trackers to understand what sort of programming roles are available.