The Tiger Caves complex on the way to Mahabalipuram
Talking about the route, you can select one of the two routes from Bangalore towards Mahabalipuram. The first is via Chittoor in Andhrapradesh (take NH4) and the second is via Krishnagiri (take NH7 and NH46).
Route A (Mahabalipuram from Bangalore via Chittoor ) : Bangalore -- 66km -- Kolar-- 106km -- Chittoor-- 48km -- Wallajah -- 40km -- Kanchipuram -- 38km -- Chengalpattu -- 12km -- Thirukkazhukundram --17km -- Mahabalipuram
Route B ( Mahabalipuram from Bangalore via Krishnagiri) : Bangalore -- 40km -- Hosur-- 50km -- Krishnagiri-- 150km -- Wallajah -- 40km -- Kanchipuram -- 38km -- Chengalpattu -- 12km -- Thirukkazhukundram --17km -- Mahabalipuram
Talking of trains, travel from Bangalore to Chennai by one of those trains, buses or even by flight. Chennai to Mahabalipuram is about 50km. There are frequent bus services from the Koyambedu bus stand to Mahabalipuram, else a taxi would cost about Rs1700 including the waiting charges.
Bangalore to Kanchipuram, Mahabalipuram and Pondicherry road route.