Hi,
You could reach Jaipur (Mysore-Jaipur Express), then go to Ajmer just 2 - 2 1/2 hrs from bus, Pushkar is near Ajmer.
Then to Johhpur, Jaiselmer, Bikaner, Ranthambor(if you like wild life).
Udaipur is a must visit place if you are coming to Rajasthan.