The public transportation system is well organized and economical. There are regular buses that go all over the island, most of the ones useful for tourists run through Avda, Tirajana in Playa del Inglés and head north to the Atlantico shopping centre or Las Palmas or along the coast towards Puerto Rico.
You can also get local ferries and even a glass bottomed boat between some of the towns such as between Puerto Rico and Puerto de Mogan.
There are no trains in Gran Canaria. There is an autopista (motorway/highway) that covers much of the island.
You can travel between the Canary Islands by ferry and Tenerife is the closest to Gran Canaria being 2½ hours away by ferry or 1 hour using the fast ferry.
Renting a Car in the Canary Islands
Rental cars are available at the airport and in all resorts, both from local companies and large international car rental companies. Most of the large ones such as Avis and Hertz have offices in Playa del Inglés near the motorway. Remember to pre book a car seat if you are not bringing your own to ensure availability.
Taxis in the Canary Islands
Taxis are widely available and are reasonable. Many will have booster seats in the back which can be easily fitted. You can also request your hotel to order a taxi with a car seat if you require one. These are readily available on the island also but you are less likely to find one at the taxi rank.