The Last Quarter Moon is Thursday May 2.
Saturn is now easily visible above the eastern horizon before midnight in the constellation of Libra. Saturn climbs higher in the evening sky during the week, becoming easier to see.
Saturn, Arcturus and Aldebaran from a broad triangle above the eastern horizon.
Opposition (when Saturn is biggest and brightest as seen from Earth) was on April 28. However, Saturn will be a worthwhile evening target for telescopes of any size for several months. The sight of this ringed world is always amazing.
On the morning of May 10, there will be an annular Solar eclipse. In an annular eclipse the Moon does not completely cover the Sun, and the Sun forms a thin ring around the Moon at maximum eclipse depth. The annular eclipse will be seen from a thin strip in WA, the Northern Territory and remote far north Queensland.
Everywhere else will see a partial eclipse of varying depth, the north-east coast of Australia having the best views. The eclipse starts shortly after sunrise. In places along the annular eclipse path, such as Tennant Creek (NT) and Musgrave Roadhouse (QLD), viewers will see a thin rim of Sun around the moon.
Elsewhere viewers will see between 13% (Hobart) - 83% (Cairns) of the Sun covered by the Moon.
Detailed timings and observing hints are in this post.
Morning sky on Tuesday May 7 looking east as seen from Adelaide at 5:00 am local time in South Australia showing the eta Aquariid meteor shower radiant, the crescent Moon, Uranus and comet Lemmon. Similar views will be seen elsewhere at the equivalent local time (click to embiggen).
Mercury is lost in the twilight.
The eta Aquariid meteor shower peaks on the morning of 7 May in Australia, although good rates will be seen on the mornings of the 8th and 9th.
The eta Aquarids are debris from Halleys comet. The radiant rises around 2 am May 8.
The actual peak is on the morning of the 7th, and reports coming out suggest an outburst may be in progress. For detailed viewing tips see this page.
Comet C/2012 F6 Lemmon is in the morning skies. On the 8th it is not far from the crescent Moon. It has dimmed substantially, and you may need a small telescope to see it.
Bright white Venus is lost in the twilight.
Mars is lost in the twilight.
Evening sky looking west as seen from Adelaide at 18:30 pm local time on Saturday May 6. Similar views will be seen elsewhere at the equivalent local times indicated here. Click to embiggen.
Jupiter is visible low in the early evening, and is the brightest object in the early evening sky.
Jupiter is low in the western early evening sky, being quite visible in the twilight. Jupiter is moving away from the Hyades, and the red star Aldebaran into the horns of Taurus the Bull.
Jupiter, Aldebaran and the red star Betelgeuse in Orion form a triangle in the sky. With the Pleiades cluster and the constellation of Orion close by, this is a beautiful sight.
Jupiter is setting progressively earlier, by 7:40 pm local time, so the giant world is harder to see in a telescope. Jupiters' Moons are easily seen in binoculars, and can be followed from night to night changing position, but with a narrow window between twilight and Jupiter setting, you won't have time to see much action.
There are lots of interesting things in the sky to view with a telescope. Especially with Saturn so prominent in the sky. If you don't have a telescope, now is a good time to visit one of your local astronomical societies open nights or the local planetariums. Especially during the school holidays.
Printable PDF maps of the Eastern sky at 10 pm AEST, Western sky at 10 pmAEST. For further details and more information on what's up in the sky, see Southern Skywatch.
Cloud cover predictions can be found at SkippySky.