Tim Hughes is my head chef at J. Sheekey. He has twins, too, Rebecca and Jamie - there must be something in the water. This is a simple and quick purée, with the basil and Parmesan adding a Mediterranean twist.
Steam or boil the carrots until very tender, then drain. Add the basil, Parmesan and some seasoning and purée in a blender or food processor until smooth. Finish with the butter, if you like.