nearest prominent place is Thanjavur . From Thanjavur 40 km is there to Kumbakonam . you will get buses or local trains from Thanjavur to reach Kumbakonam .
From Coimbatore you can reach Kumbakonam by train and it will take around 6 hrs to reach .
Nearest airport is Thiruchirappally and is about 90 km away .
From Chennai around 280 km is there to Kumbakonam