Help me understand this dialogue from Mad Men - Your mother can check under my fingernails
IN PETE CAMPBELL’S OFFICE
Pete is mid-twenties, charming, all-American, and on the phone.
Pete (to phone): Oh, honey, don’t worry, I’ll get home safely. I have an important appointment right now, so why don’tyou go shopping or something? Take your mother to lunch, tell her it was my idea.
Dick (to Ken): Wow, he’s good.
The three guys, Ken, Dick, and Harry, settle into different places around the office. A few of them light cigarettes.
Pete (to phone): It’s just a bachelor party. …No, I really don’t know what they have planned, but judging from the creative brainpower around here, we’ll probably end up seeing “My Fair Lady“.
Ken looks offended and takes a card out of his pocket with a drawing of a stripper, on it is written “The Slipper Room”.
He holds it up for Pete.
Pete (still on the phone): I’ll tell you what. I’ll stop by your place on my way home. Your mother can check under my fingernails