Hot water heater... turn off & on??? gas or electric???

I would think electric is cheaper to run and much easier , no fuel tank to change . I also believe turning the heater off and on constantly is a bad thing not only on the switches and elements but also the effect of all the pipes expanding and shrinking .
We leave our trailer plugged in at our house 24/7 on a separate electric meter that also runs a 200 foot deep well pump , and trailer refrig and trailer electric water heater , the electric bill will run less than twenty bucks .