Place a fabric softener sheet in the bottom of your laundry basket (remember to change it weekly.) You can also simply sprinkle some baking soda (bicarbonate of soda) in the bottom of your basket and that will help absorb the odors as well.

You can also keep your laundry hamper smelling great, by placing a scented bar of soap in the bottom of the hamper. Every time the hamper is opened the fresh scent you love will flow out!