The brightest “star” over Nuuk tonight is not a star at all: it's Jupiter, about halfway up in the south before dawn. You can also see Venus, Mars and Saturn. It's dark enough for stars from about 18:39.
Rises into view in the south-east around 07:38 and stays until dawn washes it out. Best at 08:38: very low, just above the horizon in the south-east, one fist above the horizon. It stays low, so you need an open view with no buildings or trees in the way.
Rises into view in the north-east around 00:43 and stays until dawn washes it out. Best at 07:53: about halfway up in the south, 4 fists above the horizon.
Look east as the sky darkens. Visible until 03:58. Best at 22:48: about a third of the way up in the south, 3 fists above the horizon.
Rises into view in the north-east around 00:38 and stays until dawn washes it out. Best at 07:08: about halfway up in the south, 4 fists above the horizon.
Rises into view in the east around 19:48 and stays until dawn washes it out. Best at 02:18: about halfway up in the south, 5 fists above the horizon. You'll need binoculars or a small telescope and a dark sky.
Look south-east as the sky darkens. Visible until 01:43. Best at 22:18: about a third of the way up in the south, 3 fists above the horizon. You'll need binoculars or a small telescope and a dark sky.
Too close to the Sun to see right now. It is lost in the glare, 11° from the Sun.
Where to find them at 19:19, once the sky is dark.
It's most likely the planet Jupiter. It is about halfway up in the south and visible from 00:43 until dawn. Planets shine with a steady light, while stars twinkle.
Venus (from 07:38 until dawn), Mars (from 00:38 until dawn), Jupiter (from 00:43 until dawn) and Saturn (after sunset until 03:58). With binoculars or a telescope you can also find Uranus and Neptune.
The Sun sets at 16:43. The brighter stars and planets come out by 17:40, and the sky is properly dark from about 18:39. Full astronomical darkness begins at 19:35.
The Moon is a Waxing Crescent, 1% illuminated. It doesn't rise tonight and moonset at 15:14.
Calculated for Monday 9 November at 64.20°N, 51.73°W. Times are local to Nuuk.