I used FireFox on Windows (Vista and XP) and on OSX Snow Leopard. It has memory leak issues on both platforms. Once it gets to a certain critical mass, it becomes much more unstable to where you can't quit cleanly. Version after version, still leaks.
I switched to Chrome last November. Rock solid. When a plug-in crashes, you get intelligent crash report (Flash is notorious) and any page that used it gets a 'broken plug-in' image where the plug-in was hosted. If you refresh the page, the plug-in is relaunched. So nice.
It's also much faster than I ever remember Firefox. Has its own task manager so you can see what's going on with each tab/window so if one is consuming a lot of CPU, Chrome will tell you and give the option to kill it.
All those points are about the stability in light of the fact that a lot of plug-ins are unstable or JavaScripts go out for a ball of chalk and eat your CPU.
Also, as a developer, the developer tools built-in are very nice. Those exist, too, on Firefox, but I prefer the built-in Chrome tools to what is effectively a bundled add-in.
I still use Firefox, IE, and Safari for testing things, but Chrome is preferred overall.
It's all personal preference... but give it a try.