It's very straightforward. Create as many projects as you like, fill them up with tasks grouped in task lists, and choose the way you view them. The best part: what you choose doesn't affect the way others see the same project. This means that at the same time, a project is viewed in the Column, Timeline, or List view by different people, without affecting one another.
Extra tip: if your business relies heavily on files, you can go through them in individual projects' "Files" tab. All the files ever attached through comments or within tasks will be listed there chronologically. And we mean - all types of files.
Videos, images, documents, Google Sheets, Dropbox files, the whole lot. You won't have to thoroughly search the tasks and waste precious time finding exactly what you need.
That's not all. If you'd like to view your or your team's tasks on a calendar, you can! The Calendar lets you select one or more projects. This way, you'll be able to visualize your assignments on a monthly calendar.
If you need to monitor your teams' tasks, check out Workload, a project management timeline tool. You can filter individuals or entire teams and get an overview of what they're up to, week by week.