Different Columns in Document Library and Document Sets in Sharepoint

Hello everyone,

I am stuck with a problem.

I have created a new document library in a sharepoint. There I have entered some metadata for all the files in the entire library according to my wishes and created corresponding columns.

I have also specified the desired columns in the "All documents" view.
Now I would like to add some document sets to the document library. In addition to the columns that I use in the document library, I would like to insert and display a few additional columns in each document set. Is there a way to display the additional columns in the respective document sets while keeping the "All Documents" view (and to display the original columns again when "jumping back" to the document library)?

I would be so grateful for any help and advice.

PS: I have used document sets instead of folders because I have read in many places on the Internet that they actually only have advantages over folders. So if my requirement could be realised using folders instead of document sets, that would be fine with me!

Thank you so much in advance!