Secure dresser to Wall
There are various ways to do this. The better manufacturers will provide you with instructions and the screws and clips needed to complete the job. If you do not have screws etc, you will need to do this your self.
First locate the studs in the wall using a stud finder. Many people have them now so you should be able to borrow one from a neighbor, friend or family member. Next position the dresser in the location you want it to be and remove the top drawer. Screw large screws, at least 2 inches in length through the back of the dresser into the wall at the locations where you found the studs.
Another approach is to screw L brackets to the wall and also into the dresser. This takes a little more time, however if done properly is much stronger than just screws through the back of the dresser.
Another approach is to attach a strong chord to the wall at one of the stud locations. The other end can be attached to the dresser. Make sure it is securely attached and will not break or give way from the attachment device.