Remote temperature control

I’m new with the Arduino. I’d like to locally display the temperature in my observatory and remotely display the temperature wirelessly to the windows laptop in my house 80 ft’(24.4 M) away, and be able to turn on and off a heater(1500W)and a fan. I have a Duecimilla. What other modules do I need. I am not an electronic engineer and at age 71 I don’t want the effort to become one. As the temperature goes as low as -21F here, it would be nice to heat the observatory only when I plan on using it.