The distance from Pushkar to Bangalore is 1800 km. The most practical way is to take a train from Ajmer to Bangalore, which is a long journey. Alternatively, you can fly from Kishangarh to Bangalore with a layover. The journey takes you across the length of India.
Total Distance: 1800 km by road, 1600 km air distance.
This is a very long journey; carry sufficient food and water.
October to March for pleasant weather.