Generally a private guided safari is more flexible as many of the trip details are left up to the A Step Ahead guide while on your journey. He would customise your journey as it happens. You would also have more continuity between one place and another, as the guide would know your preferences, and what you have or have not seen, and customise accordingly, allowing for different experiences in the next location. Our independent safaris (with no A Step Ahead guide) are also very popular, even though you would follow more of the program of each camp or lodge, so the day to day activities would be less customised.
More information on the difference between a private guided journey and other journeys are described here