If you've more than a night and want somewhere to relax away from the city, then try one of these. All have lots of space and are set in large areas of greenery, often stocked with game. Because of this, all are out of the centre, so communications can be less easy. Also, because they are smaller, most of them organise transfers to/from the airport (or the city) on an individual basis, and this is reflected in their rates or in transfer charges. However, for an extended stay all are very pleasant and worth seeking out. Listing them alphabetically:

Chaminuka Lodge
Chaminuka Bushcamp
Lusaka Safari Lodge
Lechwe Lodge
Lilayi Lodge