I've used a vacuum cleaner with one of those brush things that is supposed to be for uphlstery but no-one ever uses.   Be careful around her face though!   Mines a white longhaired persian and there usually a lot of hair around.

Another tip that we've used is to rub fish oil into her coat (the oil that comes in a tin of sardines or kippers - this will encourage the cat to do more grooming of its own

Bob