Good Charlotte frontman Joel Madden and twin brother bandmate Benji catch a flight from Los Angeles to NYC on Sunday morning.

The Madden twins, 28, will be promoting their new albumGood Morning Revival on this afternoon’s episode of MTV’s Total Request Live and tomorrow’s edition of The CBS Early Show. The US rockers entered the Billboard charts this week at No. 13.

Joel just got a haircut over the weekend, accompanied by Simple Life star girlfriend Nicole Richie.

Brother Benji is currently engaged to Australian singer/actress Sophie Monk, who dropped him off at LAX airport yesterday in a Lexus.

Pictured below: Joel and Benji pose for a portrait in Studio City, Calif. on Saturday, March 10.

Skinny socialite Nicole Richie and Good Charlotte boyfriend Joel Madden drop some major cash at Barneys New York and Dior in Beverly Hills on Sunday.

The two lovebirds arrived in Joel’s car (BMW 745 Li) and walked in and out of the stores hand-in-hand.

The canoodling couple kissed in-store and attracted the attention of many other shoppers. Or, at least, shoppers who were kicked out of the store because of Nicole and Joel and forced to peer in through windows.

Nicole, 25, is wearing a cow print head scarf and toting around a red quilted Chanel purse (the same one that Mary-Kate Olsen loves). MK even wrote for the New York Times last month, sharing her love for the purse:

I have a large, red quilted Chanel bag that I borrowed from my sister Ashley. I wore it to an event and never gave it back. Luckily, she’s moved on to another bag, so I’m safe for now. I’m not quite sure how many bags I have, but let’s just say I have a few. When I find a bag I like, I tend to wear it to death until I become obsessed with another one. This probably happens three to five times a year. But I always come back to the Chanel. The size isn’t overwhelming, and it has enough subtle detail to keep it interesting.

I also have the smaller version in blue and in white, but the red is definitely my favorite. I don’t have a stylist — I’d rather just do my own thing and put together my own outfits. The chain-handle bag is the perfect accent to almost any combination I come up with. I look at everything with a designer’s eye, but I wouldn’t change a thing about this bag. I think that’s why it’s a true classic.

For more pictures of Nicole and Joel shopping and smooching, CLICK HERE!