It doesn't matter what browser your using or any added security feature you may use , if the powers that be in your country want to know anything about you they have access at the drop of a hat... But 99.9% of law abiding people need not worry, ever.. eMails or sites visited are ALL kept in logs by your ISP... Well here in the UK that is the law , cant speak for other countries...
And as far as I am aware all browsers use cookies , those cookies report back where and when you were looking at what & when...
Suggestion :
Go for a browser you feel comfortable with or maybe 2 or 3 of them... each have a different niche ..
I use Comodo Dragon , Torche both Chrome based & Comodo Ice Dragon Firefox based..