I usually just use a file manager from the app store. Some are much better than others.

Also, ios has the "Connect to server" option which is very useful built-in to its own file manager. When I use that I just browse the shared content on whatever device I'm connected to. You can copy and paste files from the server to your ios device as well. I'm not sure how to edit them, like a text file, due to permissions (I think).