By Train : Begun Kodar station (17kms) is the nearest railway station to Ayodhya Hills. You can hire a local private cab to reach Murguma or you can ask hotel or resort to pick you up from station and it should be pre booked.
Few trains are available there from Howrah Junction (in Kolkata) to Begun Kodar station, as example – Howrah Muri Shatabdi Express, Howrah Ranchi Intercity Express, SRC AII Express etc.
By Bus : Very Few buses are available from Kolkata to Purulia
By Car : If you are coming from Kolkata, you can reach Murguma via Dankuni, Arambag, Bishnupur, Purulia and Begun Kodar.