Hey there @Amy_303; welcome to the Community and happy Monday!
To directly get to the chase, you can download all of your files from our website to save them on your computer before deleting your account.
If you're using the desktop application, you could move them out of your Dropbox folder instead and let the app sync until it shows 'Up to date' in your menu bar/system tray.
Let me know if you have any more questions.