How do you find where the weather stations are located for your particular city?

The National Weather Service references Rocky Mountain Metropolitan Airport (BJC).

https://forecast.weather.gov/MapClick.php?lat=39.632930000000044&***=-105.31902999999994

Other area stations are listed here:

https://forecast.weather.gov/obslocal.php?warnzone=COZ036&local_place=Evergreen%20CO&zoneid=MDT&offset=21600

Best consult NOAA. https://www.ncdc.noaa.gov/cdo-web/datatools/findstation might help. But, that will only be for US government weather data. Private weather forecasting companies may not list station locations.