After completing a construction management program, there are a variety of positions that you can go within a construction company: assistant project manager, estimator, safety manager, scheduler, quality assurance manager or human resource manager. Most firms will start you as an assistant in one of these positions, because it is important for you to get the experience necessary before managing a project on your own. At this point you will manage single projects at a time, but as you progress, you will become responsible for multiple projects. The size of the firm will determine the amount of traveling you will be doing.