Chrome is fast and stable. I understand that a lot of people worry about their privacy, but it's trivially easy to block it from tracking you. Just to to "Settings" and make sure your browser isn't signed into a Chrome account. Then go under "Privacy" and turn off all of their helper features, like autocomplete, bug reporting and malware protection. These bring the browsers security in line with what you'd expect from Firefox and completely blocks Google from tracking your online activities.
If you really want to avoid Google, I'd suggest giving Maxthon a try. It's been around for 6 or 7 years now and has financial backing from some serious players and isn't going away any time soon. Importantly, it uses licensed rendering engines from both Internet Explorer AND Chrome, so it's capable of rendering any page that they can. Even more importantly, it was designed specifically for security and privacy. The founder of the company made a statement last year that it would be a waste of time for government agencies to try and subpoena data about the browsers users, because the system was specifically designed to prevent governments and corporations from spying on it. Everything that the company stores is encrypted, and the company doesn't keep the keys.
I don't use Maxthon myself, but if you really want privacy without giving up features, they have a Mac version (and a version for pretty much every desktop and mobile platform out there). The browsers users are a pretty loyal bunch.