Absolutely Alfie and the furry purry secret. Book 1
(Book)

Seven-year-old Alfie Jakes isn't thrilled when her mom organizes end-of-summer playdates with her soon-to-be classmate, Hanni. Hanni is kind of bossy. So Alfie is relieved when Hanni is more fun to play with then she thought. Even better, she shows Alfie her cat--who has kittens! Alfie immediately falls in love with a little gray kitten and wants to give it a home. But one of the Jakes' house rules is 'no pets' because Alfie is supposedly alergic. Alfie is sure she's outgrown that allergy, but how can she convince her parents? Wouldn't it be better to sneak the kitten home and PROVE that she's not allergic? But keeping a kitten a secret is lot harder than she ever thought!--from Publishers website.