I released a new Eclipse plugin called Member Mover, which provides shortcuts to reorder Java class members inside a file.
It works similar to Move Line Up (ALT+UP) and Move Line Down (ALT+DOWN) but on a higher level. For example, you can swap the method the cursor is currently in with the method above it.
You can install it via this update site: https://greenlightning.eu/eclipse/member-mover/
For more information have a look at its page here.