Cutting out sugar

The cardiologist did a number of tests on me and determined that my heart was perfectly fine. I have recently been reading online forums where people report similar problems and said that cutting sugar out of their diet made the problems go away. I, like those people, ate an absurd amount of sugar, I also had high blood sugar the last time I had my blood checked, and I think diabetes may run in my family (my mom has it). Consequently I have decided to quit sugar completely, at least the processed kind. I was wondering, do you think this would apply to fruits and sugar-containing vegetables and grains as well? I know these things have a lot of essential nutrients for our diet(tomatoes, onions, peppers etc.), but do you think the sugars in those foods would be further exacerbating my problem? Should I not worry about them, cut them out completely or eat them in moderation? Thanks