Well you can take a train from perambur to chennai central (available every 3 mins) and then go to park station , take another local train (available every 5 mins) and get down at third stop.
Or take cab
Or...
more... take auto rickshaw (might cheat you with higher prize )
Or take 29C bus (available very 1 minute in front of railway station) this goes to Nungambakkam