The distance from Pushkar to Hyderabad is 1300 km. The most practical way is to take a train from Ajmer to Hyderabad, which is a long journey. Alternatively, you can fly from Kishangarh to Hyderabad with a layover. The journey takes you across the heart of India.
Total Distance: 1300 km by road, 1100 km air distance.
This is a long journey; carry sufficient food and water.
October to March for pleasant weather.