Need some help on a very small project
I think I managed to make a little circuit that should prevent you from burning up your Arduino.



From what I read you shouldn't connect MOSFET directly to Arduino. Imagine that MOSFET has a little capacitor inside it, and in the beginning that capacitor can take such high current that actually can burn the Arduino pin. Instead you use a simple NPN transistor (with 100kohm resistor) as a "switch". The NPN can survive much higher current, and it will not strain the Arduino pin.

When I simulated this setup using the default "blink" sketch the light bulb was lit when PIN13 was HIGH. Just note that there always is a small voltage drop (think of it as a resistor inside the MOSFET) and it can make the MOSFET get a little warm. In your setup it should not be a problem, but in some cases it's nice to screw a radiator on the MOSFET.