I arrived in Goa (Panjim) from Poona in this sleepers bus, rather comfortable as you can travel sleeping. It took about 12 hours to arrive.
From Mumbai you can take too the night train (reserve well in advance) with Konkan Railways, about 12 hours too.
There is a hydrofoil boat service (Damania Shipping's Catamaran) on high season only, 7 and a half hours, but much more expensive.
Old Goa is just 10 kms away from panjim. There are local buses from the Kadamba stop in Panjim. But if you are in a hurry, you can take a moto-rickshaw to leave you there and pick you up at a certain time for about 200 Rs. (bargain!)
You can hire a scooter, moterbike or even a jeep in Goa it's a good way of getting around I prefered it to going on an orgonised tour, you have much more freedom and for those of you who ride bikes you know what I mean when the sun is shining and the wind is blowing through your hair, any-way there are different types of two wheelers like the Vespa scooter and Honda Kinetic you can hire 50cc mopeds to 350's and bigger but the most popular are the Enfield range espesially the 500cc Bullet even though they have Yamaha's,Suzuki's and Honda's, the price for hiring ranges per day from $5 for the scooters to $20 upwards for the bigger bikes even better is to hire one for the week as the price drops dramatically. but be warned it might be a good idea to take out insurance if they offer it because the roads are not good in some places and I would not recommend riding far at night if you are not an experienced rider as there are some big trucks out there with little or no headlights, and be careful during the day as you can soon burn in the sun as you don't notice the heat so much as you are cruising along without a helmet or shirt. as for the jeeps I don't know thw price as I never felt the need to hire one. Watch out for those pot holes!
There are many ways to get around Goa. Definatly try the rickshaws or sccoters they are fun! However taxis are really cheap to hire!! If you hire a taxi the driver will wait for you at any of the locations you go to even if it is hours. They do cahrge for the wait but you won't believe how cheap it really is.
There are several motorcycle rickshaws (Tuk-Tuk) in Goa. And it is easy and cheap to travel around with them. You pay 50-100 rupies for a trip.
These little motorised scooters buzz around Goa like busy bee's. Definately an experience worth doing but I'd suggest only for local journeys.
the road to south goa passes besides the mandovi river.
this beautiful stretch of road is seen just after you descend down from the bridge over mandovi and turn left towards south goa.
The jeeps in Molem are the only vehicles allowed to go to the falls. They can - and do - charge what they like. Save money by waiting for others to join you to share the cost.