Zoey the Bich-poo at 6 months oldâ Zoey is a Bichon / Poodle mix. Her mother was a registered Bichon Frise and her father was a registered toy Poodle.Zoey is exceptionally smart and learns commands very quickly.ll this and cute as the dickens to boot!!!. Standard Bich-poo: a cross between the Bichon Frise and Standard Poodle âthis breed can only be conceived through artificial insemination. It is no different than your regular Bich-poo, except it is bigger.