I thought to use the PWM output of the Arduino to trigger an optocupler that will trigger a triac.
How about something far simpler:
1. get a laptop power supply (19-20v, 3a +) to power the handle.
2. use a mcu (arduino or not) to control a mosfet that turns on / off the handle;
3. use a pot to set the desired temperature and use the adc to read the handle's temperature sensor;
4. if the handle's temperature is less than the desired temperature, turn on the handle; otherwise turn off the handle.
You may use a led to indicate if the handle is on/off.
All can be done quite simply.
After that, you can refine the algorithm to make it fancier (for example, adding pid, or pwm, or auto sleep, or display, etc.).