Recommendations for trip with young family

Hi everyone, we're travelling to Uzbekistan for the first time -- me, my wife, our two boys, and my mum. We're landing in Tashkent on 28th March and leaving on 5th April. We have the first two nights already booked in Tashkent and will mainly explore the city.

After that we wanted to explore the countryside more and stay somewhere that has scenic views or is in the mountains - considering farmstays, eco resorts and B&Bs. We would like to go on some gentle trails, go into forests and enjoy the nature. Playgrounds would be great to burn energy for the kids.

Would you recommend any places that we should visit/stay at?

And also, is it better to rent a car rather than relying on two taxis? How easy is it to rent at Tashkent airport? (We're flying in late in the evening).