Trusted to do their job? Personally, I think so, and would go as far as to say the main contenders are not doing anything fishy with your data.
I think the trouble comes in with the fact that they become a high-value target to hackers because of how much information they have on their customers. I'm sure that they take a lot of technical precautions to safeguard user data, but for me personally, the risk is not worth the value proposition.