If you need to remove pet hair from a carpet or chair, put on a pair of latex gloves and rub the surface with the pet hair on it – the pet hair should stick to your gloves.
This will also work with rubber gloves or cloth gardening gloves that have a rubber coating on the palm. (A rubber bristle push broom can work in the same way on floors.) For increased effectiveness, dampen the glove or rubber section of the gloves.
If you don't have gloves, dig out that package of birthday balloons. Blow up a balloon and tie off the end. Rub it across the surface that has pet hair on it. The static on the balloon's surface will attract the hair, which you can collect with your other hand. Then, re-use the balloon to get more hair (just think of the fun your kids could have…)