BC options..?

Where do I start with picking BC? I've read a lot about different kinds.. I was on Velivet (pill) for two years to curve my acne and stopped because of my grandmothers health history with the pill (was told her extended use with the pill caused her to have cancer). Can this happen?? Also I knew someone who had an IUD and got in a car accident (not that bad) and her IUD broke in the accident and she got pregnant.. Then my friend has an implant in her arm and that almost sickens me.. Help! TIA!!!