Hello! That sounds like an exciting trip across some of the best parts of Japan. Here are some travel tips to ensure you have a fantastic journey.

Best Time to Visit:
The best time to visit Japan's cities like Tokyo, Kyoto, Hiroshima, Kagoshima, and Fukuoka is during the spring (March to May) when the cherry blossoms are in full bloom giving the cities a picturesque beauty. Another great time is autumn (September to November) when the leaves change color.

Route and Accessibility:
Japan has a well-connected and efficient railway system. From Tokyo, you can take the Shinkansen (bullet train) to Kyoto, then to Hiroshima, Kagoshima and finally to Fukuoka. Each city is well accessible by public transportation such as buses, taxis, and subways.

Accommodation and Booking:
Japan offers a wide range of accommodations from luxury hotels to traditional Ryokans and budget hostels. Booking can be done online via platforms like Booking.com, Agoda or Airbnb. It's advisable to book accommodations well in advance if you're planning to visit during peak seasons.

Clothing and Essentials:
Bring lightweight clothing for the warmer months (April to September) and heavier, warmer clothes for the colder months (October to March). Comfortable walking shoes are a must. Also, carry an umbrella or a light rain jacket as rain showers can be frequent.

Health and Safety:
Japan is a safe country for tourists. However, like anywhere else, one should always be aware of their belongings. In terms of health, ensure that your routine vaccines are up-to-date. Tap water is safe to drink in Japan.

Local Etiquette and Respect:
Japanese people value respect and manners. Always bow when greeting, avoid loud conversations in public places, and remove your shoes before entering someone's home or certain traditional establishments. Learn a few basic phrases in Japanese to show respect.