Whether or not you can get AIDS if you cut your hand doing a manicure depends on the actual situation. If disposable tools are used, you generally will not get AIDS; if you share manicure tools with others, you may get AIDS, but the probability is low.
If disposable tools are used for manicure, you will not get AIDS even if you cut your hands.
However, if you share manicure tools with other people, if they are not sterilized, if you have previously given manicure to other AIDS patients, and if your manicure tools are contaminated with the blood of an AIDS patient, you may contract AIDS if you cut your hands during a manicure, but the probability of this happening is low.
Therefore, it is important to go to a regular nail salon to have a manicure, and to disinfect the wound in time after cutting your hand.