agree, Brave is a great browser, I'm writing this on the iOS version which I find works very well in conjunction with Spark, my email app.
I have tried a few alternatives but little things like how well the browser opens email links add up and Brave does this better than most. App switching also works well where Brave opens a link then switches to the appropriate app eg. Facebook. The only shortfall is that the versions do not sync across devices (yet?).
I have begun to question the value of this feature anyway. Apple's Handoff feature is good and subscription and data are protected by 2FA but I'm not sure if want to trust that data to a third party subscription. Bookmarks would be convenient but beyond that? Well, it's just another security risk.
As for DuckDuck Go as a search engine, it does what it says, it doesn't track your searches which is a big advantage over Bing and Google etc. but be aware that adverts in your search results may.