...
ICompilationUnit cu = RefaktorHandleUtils.findType(editorProject, packageName, simpleTypeName).getCompilationUnit();

ExtractMethodRefactoring extractMethodRefactoring = makeExtractMethodRefactoring(prefix, cu);
CheckConditionsOperation checkConditionsOperation = new CheckConditionsOperation(extractMethodRefactoring, CheckConditionsOperation.ALL_CONDITIONS);
CreateChangeOperation createChangeOperation = makeCreateChangeOperation(checkConditionsOperation);
makeAndRunPerformChangeOperation(monitor, undoManager, undoName, createChangeOperation);

Refactoring moveRefactoring = makeMoveRefactoring(prefix, packageName, simpleTypeName, extractMethodRefactoring);
CheckConditionsOperation checkConditionsOperation2 = new CheckConditionsOperation(moveRefactoring, CheckConditionsOperation.ALL_CONDITIONS);
CreateChangeOperation createChangeOperation2 = makeCreateChangeOperation(checkConditionsOperation2);
makeAndRunPerformChangeOperation(monitor, undoManager, undoName, createChangeOperation2);
...

public void makeAndRunPerformChangeOperation(IProgressMonitor monitor, IUndoManager undoManager,
        String undoName, CreateChangeOperation createChangeOperation) throws CoreException {
    PerformChangeOperation performChangeOperation = new PerformChangeOperation(createChangeOperation);
    // setUndoManager is required to put the refactoring into the history:
    performChangeOperation.setUndoManager(undoManager, undoName);
    performChangeOperation.run(monitor);
}