Our education G Suite account allows all users (students, faculty, staff) to store an unlimited number of files on Google Drive. By storing your files there, you will not only be putting them in a safe place for backup purposes, but you'll also save significant storage space on your device.
Google's Get Started With Drive article in the G Suite Learning Center provides some valuable information on how to use Google Drive. You can simply use the Google Drive web interface by dragging and dropping files between their site and your computer.
But if you have a laptop or desktop computer (Windows or Mac), we also recommend installing Google's Drive File Stream program, which puts a network folder on your computer. You can then simply drag and drop files between your computer and your "Google Drive File Stream" network folder. All files stored there are automatically sync'd with your Google account, and they do not take up space on your computer.
IMPORTANT: Google has a similar program called "Backup and Sync", which is not appropriate for education accounts like ours. Though you might find it helpful to use on your own home computer with your personal Google account.
Google has this great article on how to install and use Drive File stream:
When you properly use Google Drive on a daily basis to store and manage all your important files, you will not only save significant storage space on your computer, but you'll also insure that if you have a hardware failure or if you need to change/upgrade computers, you won't lose any valuable data.