High-Quality Images, portable enough to be brought around while travelling!

I place the most emphasis on image quality, and as a frequent traveller, I always capture the best scene and basically anything that captures me. Given the comparable size of both cameras, it doesn't really matter to me, so is the price as the difference isn't too big. What matters most in the camera's performance, especially in low-light condition, its shutter speed and its ease of use. And also, it seems that Canon is more versatile than Fuji but after having gone through other reviews, Fuji produces better images. So, I'm a in a HUGE dilemma!