My cat's life changed when we started brushing her with a poor man's Furminator. Ten minutes of brushing produced a pile of fur almost half her size, and she also has short hair.
I had a furminator in the past, this time I got this one and it works just as well as the furminator but a lot cheaper.
One of theses will help you with that :) I just got one for my two dogs (on husky mix one collie mix) and my mom just got one for her Aussie/ golden mix and they work great ! Petsmart sells them for like $60 or something outrageous.