Avoiding refined sugars in general is a good thing, but removing fructose completely would require not eating any fruits or berries either. The rule of thumb is that whole fruits and berries are okay if you get the plant fiber along with the juice and don't eat too many. Fruit juice drinks and refined sugars should be avoided for sure. Especially corn syrup, honey, and maple syrup.
Right now I only use refined sugar to feed yeast in baking breads. Even then, it doesn't take much. I don't drink fruit juice and only occasionally eat whole fruit as a treat. That seems to work okay so far for me, so take it as you will.