How do I change java logging console output from std err to std out?

I'm using the standard ConsoleHandler from java.util.logging and by default the console output is directed to the error stream (i.e. System.err).

How do I change the console output to the output stream (i.e. System.out)?

I've arrived at

SimpleFormatter fmt = new SimpleFormatter();
StreamHandler sh = new StreamHandler(System.out, fmt);
logger.addHandler(sh);

Hmm I just got bit in the foot a few times, trying to accomplish this feat. Before googling my way here I managed to conjure the following hack. Ugly, but it seems to get the job done.

public class StdoutConsoleHandler extends ConsoleHandler {
  protected void setOutputStream(OutputStream out) throws SecurityException {
    super.setOutputStream(System.out); // kitten killed here :-(
  }
}

Watch out: Calling setOutputStream() from the constructor is tempting, but it does (as Jon Skeet already pointed out) close System.err. Mad skills!