There are many taxis that can be booked by phone. There is hardly any public transport, since most people ride scooters.
It is also possible to rent a car. We advise you to rent a car with driver because of the unstructured traffic on Lombok. This can, in case one does not have a lot of experience in Asian traffic, result in a higher risk of collisions.
You can also rent a scooter to explore the island and drive to the beach or Sengiggi centre. Please ask for up-to-date prices. An international driving license and use of a helmet is obligatory.