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If you value privacy, ditch Chrome and switch to Firefox now
(www.fastcompany.com)
This is a most excellent place for technology news and articles.
Vivaldi is what you're looking for, not sure about their ios support but I know it syncs between android and windows flawlessly and it has it's own built in ad-blocker that you can also install ublock on top of on the desktop but I've never once gotten a popup on mobile just using their ad-blocker, and it blocks a bunch of ads too.
It is based on a chromium fork but they have an extremely strong focus on both privacy and innovation but it isn't one of those browsers that have everything switched on from the get go, they have an amazing set of core features like speed dial (which I can't live without), ad-blocker and a really handy sidebar that contains all the stuff that's usually mooshed into the top bar, however their advanced settings are all opt in so make sure you have a good dig through the settings and turn stuff like mouse gestures on.