Hi there Plinia!
First of all, welcome to Singastro! Yes, back in July when I first started out I was also a complete newbie, and I had not bought any astronomy-related books either. All I did was browse through articles online, as well as SingastroWiki. I went out for my first observation session on 5th July and got to meet a number of NUS students. Learn quite a lot, and saw quite a number of objects such as the Jewel Box and more through their telescope. Had a nice chat with one of the more experienced astronomer and picked up quite a lot.
Then I went to do some research on binoculars, before I decided to get a pair of 10x42 Vixen binoculars from McGill, as well as "The Night Sky" planisphere by David Chandler in August. Basically for a starter, I'd suggest you get a planisphere (if you don't already have one). It's a piece of plastic, or cardboard (in my case) wheel that you can rotate to match the current date and time, and shows you objects that are visible to the naked eye or binoculars. As we are in the Northern hemisphere, you should get the correct version. Then find a dark place, lay a floor mat, lie down and stare at the skies on a very good night. Then try to find object by referring to your planisphere.
For the binoculars, if you read SingastroWiki, the first number is the magnification, and the second is the aperture of your binoculars. Usually we'd recommend something around 10x50 or lesser because anything more than a 10x magnification will be too heavy to hold for long periods and may cause neck strains.
Going more into the magnification and aperture of the binoculars, the magnification is of course the magnification the binoculars provide, 10x being 10x, haha. The aperture is the "light gathering power" of the binoculars, the higher the aperture, the more light it can collect, and thus more dim objects can be seen. But if you go higher than 10x50, you most probably require a proper tripod as higher magnification will mean that a slightest shake will cause the image to shake so much that you can't see anything at all. The purpose of a pair of binoculars is for casual astronomy as you can find objects easier, and portable as it can be handheld. Personally, I don't see any point in using a pair of binoculars on the tripod, as it isn't so portable if you have to bring along a tripod. Instead, save up for a telescope as you can purchase different eyepieces to give you different magnification. It will reveal more details than a pair of binoculars can offer.
Okay, back to the planisphere and object finding. You should download
Stellarium, it's a planetarium software that allows you to see what celestial objects are up in realtime. It's because if you want to observe planets (well, usually through a telescope as a pair of binoculars would not reveal much details) the planisphere does not include them. The software allows you to see what object is in the sky right now and updates realtime as well as supporting fast forward or backwards. The reason for a planisphere is because it's a portable cardboard/plastic item that you can carry with you out on observations, as you probably would not want to carry your laptop with you to observe, would you? The software is good for letting you know where to look for the objects, and as you get more and more familiar with the night sky, you will find it easier and easier to find objects.
Right now, I think you can try to look for Andromeda Galaxy, it's near the Square of Pegasus, follow the line and you'll find a dim, or foggy-looking star-like object haha. Other than that, you can look for the Orion nebula, Pleiades and other star clusters like the M6 Butterfly Cluster, Beehive Cluster and more. Binoculars are more for widefield astronomy with its low magnification, so don't expect to get much details as you'll be disappointed. I got the binoculars first to test out my interest in astronomy as I didn't want to take the plunge in getting a telescope and not using it after a while. I went out to observe whenever I had free time with my binoculars and as I find more objects, it gets easier and I was tempted to get a telescope to see more details. So eventually I began saving up for a scope in October (after I finished my Os, I started working), and I finally managed to collect my telescope on Christmas day itself. It was my best Christmas present ever... from myself to myself, haha!
I'll start to do observations as and when I'm free around my area in Hougang (weather-dependant), near the open field @ Buangkok MRT, and may also go join weixing in Tampines when I'm free on the weekends. Hopefully the skies will clear soon. You may join us anytime you like and we can exchange information and share the joy of observing together. Send us a PM for contact numbers if you do wish to join us during our sessions. (:
And with that, once again.. WELCOME TO SINGASTRO!!! I'm Zane and nice to have a new friend and fellow astronomer to join our ranks! xD