Photo ExclusivePatrick Dempsey Debuts His Twins!

MCMINIS IN TRAINING

"There have been a lot of great gifts," says Dempsey of the influx of baby presents – including these mini scrubs (inscribed "McCutie" and "McCudlie" in homage to Dempsey's Dr. McDreamy character) from Ellen DeGeneres. But perhaps McGrumpy and McThoughtful are better suited? Dempsey says of the fraternal twins: "Sullivan will probably read this article in 20 years and say, 'What did you say about me?' He's sort of the grumpy old man. Darby is very much the peaceful, quiet little Buddha."

For more on Patrick Dempsey's twins, pick up the latest issue of PEOPLE, on newsstands Friday.