As for seeing cherry blossoms in my country Japan---
(I don't know when OP visit my country Japan in April)
In recent years, cherry trees began to bloom around 3/20-23 in famous big tourist destinations--Tokyo, Osaka, Kyoto, Nara(ciyty), Hiroshima etc.
With its reason, visiting Japan in April is a bit late to see "beautiful" cherry blossoms in those tourist destinations.
So if you cannot come to Japan and visit those cities till , at latest, 4/3-4 in April, you need to have an alternative option to go to somewhere(but on your travel route) between Tokyo and Kansai area.
My reccommendation is "have an option to go to Mt.Yoshino in Nara" in your plan.
The time of blooming of cherry blossoms(including full bloomings) in Mt.Yoshino is "from the end of March to around 4/21-22"(very long!) so even if you miss to see cherry blossom at your main destinations, you can surely enjoy to see beautiful and very geogious cherry blossoms and walk under cherry blossoms.
https://www.youtube.com/watch?v=_xMdhcHvhvw ---by drone
Mt.Yoshino is a mountain and devided into 4 stages to see beautiful cherry blossoms as below.
http://www.yoshinoyama-sakura.jp/english/flowers.htm ---map①
http://87yama.sakura.ne.jp/news/sakura-spot/map/sakura-map.jpg ---map②
--"Kintetsu" Yoshono station(近鉄・吉野駅)=starting point has 207m in altitude--
①Shimo-senbon(下千本)=lower part of Mt.Yoshino(altitude:230~350m)
②Naka-senbon(中千本)=middle part of Mt.Yoshino(altitude:350~370m)
③Kami-senbon(上千本)=upper part of Mt.Yoshino(altitude:370~600m)
④Oku-senbon(奥千本)=top part of Mt.Yoshino(altitude:600~750m)
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*Access to Mt.Yoshino from Kyoto or Osaka or Nara(city) is very easy by "Kintetu" railway so one day return trip from Kyoto( or Osaka) is possible, buti reccommend you to stay at Nara <+ a day> for going to Mt.Yoshino, if possible .
■"Kintetsu" Kyoto St.(or Nara St.) >> Kasihara Jingu-mae >> Yoshino St. (Approx. 1h40 mins by Express trains from Kyoto)
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*walking from ① to ④---3~4 hrs(slow pace)/ ④ to ①---2 hrs by foot
*"by bus" is possible from "Kintetsu" Yoshino St.(近鉄・吉野駅)to/from(=back) ③Kami-senbon(上千本)
*at the lowest part from Yoshino St., you can use a cable car(=rope way) though it's not long.
If you can see beautiful cherry blossoms somewhere in your main destinations, there is no need to go to Mt.Yoshino overdo in your schedule but SAKURA in Mt.Yoshino is really beautiful and geogious so if you are interested in going to Mt.Yoshino, it's worthwhile spending full one day and iit's not difficult and hard for your child to walk at Mt.Yoshino because the way from ① to ④ is a paved road all the way though it's partly a bit steep.
(by jp_geckozy)