Speak with your doctor about this, especially because I am not one, but from what I understand, the ones that you have a family history for, are pre-diposed by environment, the common ones, and the ones caught by usual body checks / tests during check ups. Again, not giving advice but things you can start a conversation with your doctor with.
The other comment basically got it. Ask doctor particularly with family history. All cancers are better treated if caught earlier but some like colorectal cancer have much less severe outcomes if caught early on (eg removing a large segment of colon vs a small polyp)