Does it matter what types of cancer run in my family or am I just more likely to get cancer in general?

Kristina • Getting married on 6/20/16
So heres the thing, cancer runs in my family. My grandma had breast cancer (the cancer is gone now), and my auntie Marlene (who I never met) died from cancer at 18 years old. Both are on my moms side. Anyway, I was just curious if it matters what kind of cancer runs in the family, or if I just have a higher chance of getting any kind of cancer. Any thoughts?