I keep both open on my Mac at all times, switching frequently.
Lifehacker posted a reader’s poll where ‘power users‘ strongly liked those two best.
Since that poll, Firefox has closed the gap. A little.
The main rule, however, is do not use Internet Explorer … unless you have to. IE still sucks, though it’s not as ghastly as in the past.
If you want to know why click over to Lifehacker – How and Why Chrome Is Overtaking Firefox Among Power Users
UPDATE: … The next version of Internet Explorer (not available yet) was just reviewed. Some improvement. But it only works well on Windows 7 and Vista, not XP. And, as usual with Microsoft, it’s too little too late.
Second UPDATE: Dave Sykes links to a BBC Tech reporter who confirms IE 9 is available for download. Microsoft claims it’s now the fastest browser on Windows 7. … When I went to check, all I can find is the IE9 Release Candidate. That’s still something of a Beta.
Microsoft doesn’t care much about IE, in any case. The big problem at Microsoft is Windows Phone 7, too little too late.

I mostly use Safari. I seem to have issues on Firefox more frequently. It freezes sometimes and gives me a message about running scripts for too long…never have this problem with Safari.