Interpreting what you have written as: you have files on your computer synced to OneDrive that you want to move to a new computer, presumably with a personal OneDrive account?
You can certainly copy them to a new computer using an intermediate hard drive. You could also (work policy permitting) connect your personal OD account to your work computer and transfer the files.
Deleting files from a computer will only delete from the online OneDrive repository if the files are fully locally present. You should make sure that you are copying full local files before deleting anything.
