We plan to go to Japan from December 12-24, 2017 with the following itinerary
Dec 12 - arrival at Fukuoka at night
Dec 13 - Fukuoka
Dec 14 - Beppu, Aso
Dec 15 - Nagasaki (for Huis Ten Bosch)
Dec 16 - Hiroshima/Miyajima
**Dec 12-16 - we'll be based in Fukuoka only
Dec 17 - Fukuoka - Tokyo (travel)
Dec 18 - Tokyo
Dec 19 - Yuzawa
Dec 20 - Tokyo - Osaka (travel)
**Dec 17-20 - we'll be based in Tokyo
Dec 21 - Osaka
Dec 22 - Nara + Kyoto
Dec 23 - Himeji + Kobe
Dec 24 - Osaka (depart at night)
**Dec 21-24 - we'll be based in Osaka
We'll be getting a 7-day JR Pass, but we're unsure which day to activate it. Considering costs and coverage of the JR passes, would it be best to activate it on Dec 16 to cover our Fukuoka-Hiroshima-Fukuoka trip, then use it until Dec 22 to cover Osaka-Nara-Kyoto-Osaka? In that case, we would be getting a 3-day JR North Kyushu Pass to cover Dec 13-15 itineraries, then a 2-day JR Kansai Pass to cover Dec 23-24?
Or would it be better if we get a 14-day JR Pass, instead of a 7-day + 2 regional JR passes?
Thanks in advance.