Hi,
The main difference is the input and output impedances are different for each circuit, and the quiescent power drain is less for the circuit with the higher resistor values. Of course the other replies are equally good answers too, and after all is said and done it matters most for the application which circuit would be best. For a low power battery circuit the higher resistance values would be best if we could get away with it, but for fastest speed the lower resistance circuit would be best. If it had to be both low power and fast speed then we might find some intermediate values to use.
Very good question. If we had a way to rate questions asked on this forum i would have to rate it as one of the top questions about transistor circuits.