A place often missed or not done well in toilet cleaning is under the rim. Your standard toilet brush is not shaped to do the job adequately. Here is a better method. Purchase a grout brush or something like it.That is a good size and shape to fit under the rim. Dampen it and sprinkle it with cleanser, then rub it under the rim. Now flush and wipe again with the brush while the water is coming through it (this will both rinse the rim and brush). Trust me. This is a better clean than the standard approach.