Firefox Focus works great. I have it set as the default browser in iOS and use it for browsing sites and opening pages from Feedly or other applications. As soon as I close it, say goodbye to cookies and all tracking info. It's like a private browsing browser.

If I need to go to a site and log in, then I use Firefox with standard protection (and then use the built-in password manager). But I do 95% of browsing in mobile that I want private, so FF Focus is a gift.