In this paper, we describe a new approach for introducing a research experience based on real-world research problems into the two semester Senior Design course sequence of the B.S. in Cybersecurity program at Stevens Institute of Technology as part of the INSuRE consortium. We discuss the necessity of such a research experience in the context of the ever-changing nature of Cybersecurity in that attacks seen and countermeasures developed today may already be different and outdated tomorrow. We also detail the insights gained, challenges encountered, and lessons learned in order to provide the community with the necessary means to use this as a model to implement a research experience as part of other undergraduate Cybersecurity degree programs.