Hi Sofi,
First of all, with all the gals here saying that hubby put theirs up, happy to hear that you don't need a man to do this for you! (Having been raised by a single mom, she's empowered me to learn to use power tools!)
What's your ceiling made of?
If it's concrete, you'll need a concrete bit (which can be purchased at your local home center, just bring along the screws so they know what size bit to give you). Also, you'll need an anchor for the screws. These are usually little tubes made of plastic that open up once the screw is put in.
If your ceiling is wood, you've got a slightly easier time of it. Find a beam. Best way is to turn down the music and knock on the wood till you find an area that doesn't sound hollow. Tap to the left and right and forward and backward to find the direction of the beam.
Next, drill holes. Here you have to be careful not to hit an electricity line. If you have ceiling light fixtures or a ceiling fan, the easiest way to avoid any electricity lines is if you don't drill on the [invisible] lines that connect the walls and cross at the fixture. I hope that makes sense.
If it's cement, put your anchors into the holes. You'll probably need a hammer for this.
Then, for wood and cement, attach according to the mount's instructions.
Down the line when you leave said home or just want to remove the holes, you can use plaster or caulk to fill the holes. A dab of white paint and your landlord will never know they were there.
Hope this was helpful. If you have additional questions, feel free to ask.
Good luck!