Travel by motorbike in Lombok

Hello everybody! Me and my boyfriend will be in Lombok in August (after some weeks in Java, Flores and komodo) and I have a question that doesn't find an answer on the web. We would like to move from Kuta Lombok to the south-weast region by motorbike and moving around that region and then reaching the north along the coast to embark for Gili Islands. The question is: does somebody know if it is possible to hire a motorbike in a place like Kuta and return it in another place (like Mataram or another city) ?? Because moving only by local transports could make our trip really trickier and I think we could not be free to do the itinerary we planned.

Thank you for your help!