Dokar, bemo, Colt, is commonly use by the public in Bali. But mostly the resident also have their Our own transportation such as motorbike and car.
There are many shuttle bus services operating between the major tourists areas. These you can book at any travel desk, and they'll even collect you from your hotel. Beware! Indonesians are not renowned for their driving skills and most seem to think that they are on time trial for Ferrari Formula 1!
Alternatively, you can go anywhere by taxi. These are still relatively cheap as they are subject to fixed price control with meters. Don't get in a taxi with a broken meter. If you are prepared to get out of the vehicle, you'll often find that the meter has suddenly fixed itself!
A final option is to rent your own car while in Bali. This could a Toyota Avanza, Daihatsu Taruna or maybe Suzuki Jimny. For this you'll need an international driving license, a copy of the vehicle registration papers, and thick skin - firstly to deal with any police trying to extort fines from you, and secondly to turn a blind eye to the diabolically low and dangerous driving standards of the locals.
It is a known ruse on the island for local reprobates to stop tourists on motorbikes claiming there is smoke coming from the exhaust. They then come over to the bike and surreptitiously flick the choke switch which will cause the bike to stutter and stop when you feel ready to move on. At this stage the kind chap will take you and your bike to a nearby mechanic who will charge you the equivalent of the Indonesian G.D.P. for simply flicking the choke switch back into place (which takes about half an hour behind closed doors) - don't fall into this trap (as, you'll no doubt get the impression, one of our correspondents did!).