arduino uno, 8 lights with 5 buttons

It sounds to me like you are not really convinced that you want to keep the light bulbs. Have you considered replacing them with LEDs? What power are the bulbs? LEDs use lower voltage and far less current to give out the same amount of visible light.

How would you control 8 bulbs with 5 buttons? What makes you think the buttons might be analog? Can you give us links to or pics of them?