Sure! Here are some travel tips for your trip to Tokyo, Kamakura, and Hakone.

Best Time to Visit:
The best time to visit these cities in Japan would be either in the spring (March to May) when cherry blossoms are in bloom or in the autumn (September to November) when leaves are changing color.

Route and Accessibility:
Tokyo has an efficient public transportation system. From Tokyo, you can reach Kamakura and Hakone by train. The JR Yokosuka Line gets you from Tokyo to Kamakura in roughly an hour. The Romancecar, operated by Odakyu Railways, is available from Tokyo to Hakone.

Altitude and Acclimatization:
Most of these places are at sea level, so altitude sickness is not a concern. However, in Hakone, if you visit the Owakudani Volcano situated at a higher elevation, take it slow to adjust to the change.

Accommodation and Booking:
Book your accommodations well in advance. A wide range of options from traditional Ryokans, hotels to hostels are available.

Clothing and Essentials:
Pack according to the season. Light clothing for the summer, while winter requires heavy winter wear. Always carry a good pair of walking shoes and an umbrella.

Health and Safety:
Japan is quite safe. Still, basic precautions like not flashing valuables, and maintaining decorum in public places should be taken. If you have any food allergies, inform restaurants beforehand because many Japanese dishes contain seafood.

Local Etiquette and Respect:
Respect local customs and rules. For instance, do not tip at restaurants and remember to remove your shoes before entering someone's home or a traditional ryokan. Also, it is polite to bow while greeting. Be aware that there are some shrines and temples in Kamakura where taking photos may be prohibited.