You have to remember it's not just what you come into contact with but whether you have a genetic pre-disposition to get cancer. This is why if you have a family with a history of cancer you're more likely to get it, as you will share a certain amount of genes with your family, not certain that you're going to get it, just a higher probability. This is why some people can smoke 100 ciggys a day and never get lung cancer in their life, why? Life's a lottery, be lucky!
Basically as long as you take precautions like wearing latex gloves when handling oily/greasy/anti-freeze type stuff you should be ok.
Like has been said above though, alot of things we eat and drink now have been said to contain carcinogenic products, but it's always hard to prove due to the genetic pre-disposition within ourselves and the fact that when you get older the cell replicating parts of your body sometimes just fuck up causing cancer cells to be created!
There's a big history of cancer in my family, so I try to be careful what I eat and drink (in terms of if it's carcinogenic) and it was one of the reasons why I stopped drinking so many fizzy drinks! I went from Coke to Diet Coke, then found out that the aspartame sweetener is a possible carcinogen so decided to just drink squash instead!
The good things to eat are anything containing phenols and polyphenols, coffee and tea contain these, but the government don't tell you about it as the caffeine has a bad effect on your body (not carcinogenic though - other reasons).
Can you tell my sister works as a research scientist for a major cancer charity?
Cheers,
Andy