I just recently helped my girlfriend choose a new car, we looked at a bunch of cars in the same class.
The Fit was the second place winner, we ended up going with the Toyota Yaris it just felt like more of a car in every way. We both love the car.
I would look at both the Yaris and the Fit and see which you like most, both are great cars. Good luck.
PS: We don't drive the car like a race car so I don't know if one handles or goes faster than the other.........................