A 5V turn on Mosfet like the IRLZ24 // IRLZ34 // IRLZ44 will provide an easy interface to your Arduino. In your diagram above, simply connect 1 side of the solenoid to +12V, move the mosfet drain to to the load side, the mosfet source to ground, eliminate R2 and choose a ~10ohm Resistor for the...