15 day summer trip – Tokyo/Takayama/Kyoto, advice please!

Hi, I’m travelling to Japan with my wife and two teenage kids in early August.

This is is my draft itinerary:

7 nights in Tokyo

1-2 nights in Takayama

4-5 nights in Kyoto.

2 nights in Tokyo

The idea is to visit all the sights in Tokyo and Kyoto and then do day trips (Hakone, Kamakura, Nara, Osaka… the usual).

The stay in Takayama is to relax a bit after Tokyo and hopefully recover from the hot and humid weather.

The 2 final days in Tokyo is to spend a bit of time revisiting the places we liked to say goodbye to the city.

Does it look like a good itinerary?

Is it too many nights in Tokyo, too few in Kyoto?

Is 2 nights in Takayama good at the expense of one less night in Kyoto?

Thanks!