I am making a customised window (a NSWindow with NSBorderlessWindowMask) So far I have been able to handle dragging, resizing, cmd+click and even miniaturize with double cli
Unfortunately there's no public API which allows you to do this, but if you're willing to use the Private API it's possible. Take a look at CGSPrivate.h and you'll see you can make a call like this:
CGSConnection connection = _CGSDefaultConnection();
CGSMoveWorkspaceWindowList(connection, &windowNumber, 1, newSpaceNumber);
Note that using this private API will cause your app to be rejected from Apple's Mac App Store though.