A very large spacious room, with working air-con and very friendly people. They happily arranged a daytrip for us to Muynak and Mizdarkhan with little notice and a good price. Nowhere near as touristy as Khiva, the Karakalpak people were shy, much much more authentic and genuinely happy to meet tourists from far away lands (like Canada). So I highly recommend staying a night in Nukus if thinking of exploring the former Aral Sea, the Savitzky Museum or the necropolis. Don't do it from Khiva, it is just too far and too long of a day (but do check out the desert fortresses along the way from Khiva to Nukus, such as Chilpik Dakhma, Gyuar-Kala and Janpik Kala). Nukus is a much quieter city, but there is good restaurants nearby (Palvan Shakh and the Grand Lavash) and you can walk to the museum from here easily (you could even walk to the airport if you wanted).
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