Minibuses are ubiquitous, cheap, and fast. For under a dollar, you can get almost anywhere in the city. The problem, is that bus routes are not posted, and a novice is likely to get lost. Do not be afraid to ask a conductor where he's headed.
For the uninitiated, then, a taxi might be a better option, at least initially. There are no meters in Zambia's taxis, so prices are somewhat negotiable but always on the high side for Africa. Be sure to set a price before getting in the cab. (Tip: Ask the hostel staff how much your trip should cost. If the cab driver states a higher price, mention that you're happy to ride a mini-bus. Watch the price drop.) :-)
Take down a taxi driver's mobile number, most will be happy to do an all day deal, wait for you while you explore, pick you up early or late and take you to and from the airport.
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