Bich-Poo (also known as Poochon, Bichpoo, Bichon Poodle). A Bich-Poo (also known as Poochon, Bichpoo, Bichon Poodle) is a mix between a Bichon Frise, and most often the toy or miniature sized Poodle.They have a small, but sturdy appearance, weigh anywhere from 6 â 18 pounds, and stand approximately 9 â 14 inches tall.ichon Frise. The Bichon Frise is a lively and happy breed that is gentle, sweet, sensitive and playful. They were bred as a companion dog and as such have proven to be very friendly to everyone, as well as possess the ability to get along well with children, and other animals.