Enjoy the first full moon of the year on January 10, 2020, This full moon will undergo a penumbral lunar eclipse. At mid-eclipse, you will find a slight shading - Earth's penumbral shadow - on one side of the moon.
The expected peak of the Quadrantid meteor shower in 2020 comes late evening January 3 until dawn January 4, with the predawn hours on January 4 being your best bet.
If you look in a clear western sky at dusk and early evening, you should spot the waxing crescent moon. Notice that its lighted crescent points toward the sunset.
Think photo opportunity this weekend (December 27-29) as the brightest and 2nd-brightest sky objects - the moon and Venus - beautify the evening twilight shortly after sunset.
On December 16, 2019, you might catch the moon and star Regulus - Heart of the Lion in the constellation Leo - ascending in the east before your bedtime.
On December 10 and 11, 2019, look in the sunset direction - close to the sunset point on the horizon, not long after the sun goes down - for the the conjunction of 2 bright planets, Venus and Saturn. Some will also spot Jupiter nearby.