On a prior trip we did the City of David itself on our own. Each area was well described with descriptive plaques and photos. Should bring a small flashlight and be prepared to get very wet if you do the wet tunnels. This last trip we went back for the guided Ascent to Zion tour included some of the prior excavations, but concentrated on the new excavations and items found, including an active excavation site, and recently discovered street (now under ground) leading up to the temple mount. Guide was excellent, giving a comprehensive over view of the city through 3000 years of history also quoting biblical references when ever appropriate.
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