You can’t often call something the cat’s pajamas and really mean it — until now.

Patricia Altschul, the matriarch from Bravo’s Southern Charm, has launched her very own line of luxuriously long custom caftans, and the one you’ll glamorously wear around your own mansion can feature a favorite image of your own pet (for $299 a piece at patriciascouture.com).

The idea for Altschul’s new Patricia’s Couture line was born on a trip to India where the lifestyle maven was traveling with her friend, entrepreneur Georgette Mosbacher, who also has a love for caftans. There, they met fashion designer Sherina Dalamal,...