Start with the trip’s carrying capacity
The real planning question is not which cities you want to add. It is how many hotel moves the trip can handle before it starts feeling like transit instead of travel.
For a first trip of about 14 days total, usually around 12 to 13 nights on the ground, the strongest structure is: - one longer Tokyo stay - one longer Kyoto stay - Osaka either as a short stay or a practical add-on - one side trip, not several
My default recommendation
A strong default is: - 5 nights Tokyo - 4 nights Kyoto - 2 nights Osaka - 2 nights for one side trip or more depth in Tokyo or Kyoto
Use Hiroshima if you want more historical weight. Use Hakone or the Fuji area if you want nature, onsen or scenic contrast. Use extra city nights if you want lower friction and a stronger first-time experience.
When to get personal help
Personal planning is worth it if you are trying to fit both Hakone or Fuji and Hiroshima into the same first trip, if you want to reduce hotel changes without seeing less, or if you are traveling in peak seasons where the wrong route gets expensive fast.