For the ultimate in clean shaving... may I present the straight razor.
At least one time in your hair-laden life you owe it to yourself to shave with a straight razor.
The use of a straight razor forces you to slow down and appreciate the exactness, the calm and the perfection that handling a very sharp blade brings to the process.
The very fact that you are raising the question of "should I", reveals that you are curious as to the meaning of the experience and probably your skill and ability.
It is then time to put the Gillette away and shave like a man. As they say over at Nike, just do it.