You can fight your own personal case. Do not appoint any advocate. Simply inform the court, when asked, that you want to defend yourself during trial.
However, it may not be possible for you to defend the case (in court) on behalf of your parents, since you are not an advocate. Of course, your parents can also fight their own individual cases themselves. But, if they want to appoint some other person to defend them in court, then such other person defending them should be an advocate.
If all of you are co-accused, and if your parents do not appoint any advocate, then you can cross-examine the witnesses on your own behalf and your parents can adopt your cross-examination (if they are defending themselves). This can perhaps be a via media. But, it may be risky sometimes.
Also be careful that you must know the basic procedure and should have some basic knowledge of how to defend the criminal charges levelled against you. Otherwise, sometimes, not appointing an advocate can also be like “penny wise pound foolish”. So, take the decision after considering pros and cons carefully.