IE is probably the worst among the selection, and somehow I do agree with what most people say, IE is the best browser... to download other browsers -_-
Personally I've been browsing with Chrome for quite some time now. It is reliable, pretty fast when it comes to opening web pages and has never bothered me with any incompatibilities with any of the sites that I visit (which is a lot.) It's probably the best for the in-game panel for it uses the least amount of RAM compared to its close tie, Opera.
I've never used Firefox for a while now so I wouldn't know, but as far as I can remember, it used to be annoying and memory-consuming with all its add-ons.