There are a few things you can do to help speed up the process
If you are able, bring copies of your medical reports with you when you file your application. These reports may come from your doctor, clinic, hospital, etc. If you cannot get your medical reports right away, make an appointment to file an application anyway. The Social Security office can request your medical records later directly from your doctor, clinic, hospital, etc.
Use a calendar or notebook to write down short notes about how you feel and what you are able to do each day and the kinds of things that you need help doing. This will help you provide specific information about any physical or psychological problems you've had since you first became sick with HIV/AIDS and how they affect your functioning.
Ask your doctor or case manager to keep track of your problems over the course of your illness so the Social Security office can have information on when and how often you have been tired, depressed, had fevers, lost weight, etc.
If you were working, but lost your job, write down what it is about your condition that made you stop working.
Cooperate with the DDS if it needs additional information about your medical condition and how it affects your daily activities.