For a variety of reasons, clients often ask the question: which web browser should I use? It's a complicated area with a long and storied history, but here's the short answer, for now.
With the release of Windows 10 in 2015, Microsoft deemphasized Internet Explorer (IE) and began pushing its replacement, Microsoft Edge. Unfortunately, Edge wasn't quite ready for prime time at that point, and this allowed Google an opening, which they took. This, along with improvements in Chrome, meant, and still means, an increasing number of web pages aren’t even tested with IE anymore. With that, more and more pages don’t work well, or at all, with IE.
Google has a dominant share of the browser market now. Most web pages work well with it, and since it's available on both Windows and MacOS, it's a good cross-platform browser for both Windows and MacOS.
A 2020-21 update: Microsoft rewrote Edge on the same base and Google Chrome, and made many other improvements that make it quite capable, and better than Chrome in many ways. Chrome extensions now work unaltered in Edge. It is also available for all platforms: Windows, macOS, iOS, and Android, so it's a good cross-platform choice.
Firefox and Opera and other web browsers have their following, but their market share is in the low single digits. There are lots of arguments for and against Chrome based on other factors than usability, to be sure, but a browser you can't use might as well not be there at all. Safari is an excellent browser and Apple continues to improve it. However, as an Apple-only program, its market share is low.
So, for now, Chrome or Edge.