I started doing this home exercise which seems to help with the strength in my legs as well as balance. Hope it helps you as well. Seems to me that if you increase the strength in your legs, it also helps with your balance.
While standing at the back of a chair and facing the back, I hold on to the back of the chair for balance and do knee bends. Do as much as you can safely do but do not do so much that it harms you. But do it!
EDIT: FYI, doing any leg exercise also helps with cardio.