Uzbekistan, 10 day travel itinerary advice, help needed!

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Hi everyone!

I booked the flights and will be in Uzbekistan in September for 10 full days.

What would be an ideal itinerary to see everything? I was thinking of visiting Tashkent, Samarkand with a day trip to Seven Lakes, and Bukhara. Khiva seems logistically hard to get to. Would it be a mistake not visiting Khiva?

Thank you. Every help is appreciated :)