Let me begin by saying that there's probably a reason why you haven't seen That Touch of Mink. The heat of Cary Grant and the well-scrubbed purity of Doris Day come together to produce something...rather luke warm. It's sad because they're both fantastic actors, but the chemistry in this film fizzles before it fires.
However there is a fantastically opulent sequence of shopping at Bergdorf Goodman. Evening gowns, day dresses, and even those fabulous capri-pants-overskirt deals that were called "Hostess Gowns" back in the day. (Why doesn't someone bring those back?) Chartreuse, burgundy, bubblegum pink - the colors are vivid and meant to entice.
How does such a shopping spree come about? Well, Cathy (Doris Day) has been invited away to Bermuda by Mr. Shayne (Cary Grant), and apparently she needs a new wardrobe for the occasion. Cathy is unemployed and Mr. Shayne is very rich - like, billionaire businessman building-owning rich. Cathy is a former girlscount from Upper Sandusky and Mr. Shayne is a bit of a roué, with a black book to match. I'm sure you get the picture. The prospect of a trip to Bermuda therefore, brings the tension to a predictable head.
The only reason I love this clip is because I'm enchanted with the idea of opening the door to be told "They're waiting for you at Bergdorf Goodman." There is something to be said for the convertible mink coat too. It's just sadly typical that a Milkwater Miss like Cathy Timberlake would choose the beige over the red or emerald. Nevermind that a mink coat is totally useless in Bermuda anyways.
Like Andy's transformation in The Devil Wears Prada, this little clip shows the power of great clothes for turning a nice girl into a bad one. As Emily tells Andy: "You sold your soul to the devil when you put on your first pair of Jimmy Choos. I saw it." In this film it's "...like watching Joan of Arc on her way to the fire."