Every web development project hast to be debugged in every major modern browser —Chrome, Firefox, Safari and specially IE/Edge.
Checking how your site or webapp works on Opera Mini or UC Browser is important, since those don’t support a lot of features but are extensively used in some regions. Best practice is to run tests using as many different browsers as possible and at least two mobile devices, all screen size devices from tiny budget mobile phones to 4K TVs would be ideal.
I know, sometimes running tests and debug in every possible browser and device can become an overwhelming task but the closer you can get to that is better. Being said all of it, I don’t think there is a better browser for development, there’s a lot of options and at some extent it is a matter of personal taste.
I’m not a big fan of Chrome, but some of its dev features are very useful, especially to simulate different screen sizes. When I’m surfing the web I prefer Safari for its better integration with MacOS, but it’s dev tools are far from the best even on the Technology Preview version. My browser of choice for web development is Firefox Developer Edition, even the regular version. The CSS grid inspector is a game changer (as anything else related to CSS Grid, actually).