Given that both MS and Google put Flash into their browsers these days, we're kinda left with Firefox as the browser of choice if you want to avoid Flash altogether.
I don't know if flash being built in is safer; presumably it gets updated more regularly, and maybe sand boxed a bit better. Anyway, I've long since decided to go without Flash altogether.
Running Firefox without the Flash plug-in is illuminating; there's a few major websites that casually and carelessly use it here and there. The BBC are one such website; some of their videos are flash, whilst most aren't. Why the mixture?!?!
Surely Flash must die, and die soon.