A climate control system having a heating and cooling unit is provided that includes one or more remote temperature sensors for transmitting sensed temperature, a combustion air blower, a burner, an igniter, a gas valve, a compressor relay and circulating air blower. A control mounted on the heating and cooling unit has a receiver for receiving the transmitted information, a plurality of switching devices for switching power to the combustion air blower, igniter, gas valve and circulating air blower to establish heating operation, and a plurality of switching devices for switching power to the compressor relay and circulation air blower to establish cooling operation. The control responsively controls the plurality of switching devices to establish heating operation where the sensed temperature of at least one remote sensor is below the heating set point, or to establish cooling operation when at a sensed temperature is above the cooling set point.