Your premier safari destination in Zambia is the South Luangwa. With the Luangwa River as the focus of attention, the park has a variety of lodges, to suit most pockets. If you want 5* luxury, Chinzombo is your first choice, if it is a value for money 3 star lodge, few are better than Thornicroft Lodge and there is a huge variety of options in between. Home to the Big 5 and wild dog, it is a destination to rival the Kruger National Park and most options in Tanzania and Kenya (migration excluded).
In my opinion, your second best safari destination becomes a toss up between the Lower Zambezi National Park area and the Kafue. The Lower Zambezi has the advantage that besides you normal safari drives and walks, it also offers canoeing, boating and fishing as additional activities. The Kafue is more remote, less busy and wilder, so more of an exclusive experience.
Further down the list is the Liuwa Plains as the only lodge is rather pricey and the game concentrations are still recovering, although this is quite rapid. It is however home to the second largest wilderbeest migration in the world.
North Luangwa is the most remote of the 4 safari destinations and only walking safaris are on offer. This would be the choice of returning visitors that want to expand their experiences in Zambia.