Take a train from Mumbai to Neral
From Neral, take the Matheran toy train if available
Or take a taxi, shared cab, or bus from Neral to Dasturi Naka
From Dasturi Naka, walk or take a horse/hand-pulled vehicle to Matheran
You can also drive from Mumbai to Dasturi Naka and park there
Then continue to Matheran by foot, horse, or hand-pulled vehicle