Hi Simone and welcome to the hobby.
Binoculars are a great investment and incredibly handy for starting out in astronomy.
Your first big bright object is the Moon which rises in the east just after midnight and will be in the sky until sunrise. The Moon may wash out the sky a tad so it may not be perfectly dark but try to sweep from the Southern Cross and Pointers just above the southern horizon, and follow the Milky Way over your head to the north.
10x50s can get a little heavy after holding them up for a while so you might need to rest them occasionally on a fence or invest in a tripod! The best thing I have found with binoculars is laying back on a banana lounge and just sweeping the sky.
We all suggest to download a free program called Stellarium
http://www.stellarium.org/
Enjoy!
Stephen