Pets can enrich a single life so much, especially after a break up. It doesn't matter that they can't talk, and you have to pick up their poop, it's just nice to know that there's someone waiting for you at home.
I love my cats, it's nice to have someone that will curl up on your lap and act like they love you, even if no one else does. Especially when you feel like no one will ever love you again. That cranky ball of fluff will love you.