Sure! Mysore, Hampi, and Badami are remarkable places with a rich cultural heritage. Here are some travel tips:

Best Time to visit:
The ideal time to visit these places is during winter months (October through February) when the weather is cool and pleasant.

Route and Accessibility:
For Mysore, the nearest airport is Bangalore, approximately 170 kms away. Mysore is well connected by road and rail from major cities. Hampi and Badami both are well connected by road and rail, however, the nearest airport is at Hubli or Belagavi.

Altitude and Acclimatization:
These areas are at relatively low altitudes so altitude sickness isn't usually a concern.

Accommodation and Booking:
There are several hotels, resorts and lodges in Mysore, Hampi and Badami. It's recommended to book accommodation in advance, especially during the peak season.

Clothing and Essentials:
Given the tropical climate, carry light cotton clothes. As the area hosts several temples, carrying a few modest outfits would be respectful. Most importantly, carry a good sunscreen, hats, and sunglasses.

Health and Safety:
Stay hydrated. Ideally, drink bottled water to avoid any health issue.
If travelling in summers, protect yourself from sun heat.

Local Etiquette and Respect:
The locals are very respectful towards their customs and traditions. Dress modestly, particularly when visiting temples or religious sites. Avoid touching or climbing the monuments at Hampi.

Don't forget to try the local cuisines and buy the famous Mysore silk as a souvenir. Enjoy your trip!