Hello my fellow Tucsonan, Welcome to the forum
Yes a 36t will have less vibration...I have never had a problem with vibration on my bike.
I ran a 36t and then went with a 44t. I figured with a 20mph speed limit, I might as well have a little torque to get up some of Tucson hills and mountains. With a 44t sprocket I can hit around 33mph but usually ride around between 20-23 mph.
I have been everywhere with both 36 & 44t sprocket....I like the 44t sprocket better.