Google Chrome for mobile will succeed for sure. Opera will probably remain a dominant browser for quite some time, unless Google decides to integrate compression.
I doubt that Firefox Mobile will be the next big thing, especially when its followers are switching to alternative browsers. it will have similar market share to Opera’s on PC (low) but nothing major, just loyal followers and such.
As for PC, if you enjoy Chrome, Maxthon 3.3 is quite good and I prefer it pretty much over any other web browser (still use Opera as my default), see this why
http://www.favbrowser.com/why-opera-is-my-default-web-browser/
And sure, Firefox if you enjoy a huge library of extensions and superb dev tools