Seeking password manager recommendations

I have way too many sites I log into on an irregular basis, and really should be using a more diverse set of passwords. I know there are programs that help manage such things, but I don't know much about them. I need either one that works on Android, or one that works online (where the need for trustworthiness is significantly higher), or, ideally, both.

Any specific recommendations? Or recommendations of how to evaluate trustworthiness of a company in general?