YOU SAID:

I want you to go to the store and bring me back a cat

INTO JAPANESE

お店に行って猫を連れて帰ってほしい

BACK INTO ENGLISH

I want you to go to the store and take your cat home

INTO JAPANESE

お店に行って猫を家に持ち帰ってほしい

BACK INTO ENGLISH

I want you to go to the store and take your cat home