The easiest way to get around on Fuerteventura is by car. There are plenty of car rental companies that are not too expensive, so if you are a few friends travelling together it might be a good idea to share a rental car. This makes it easier to explore the island a bit more, you might even be able to find some secret beaches where the public transport doesn’t reach.
If you want to go from the camp to the 2 closest towns - Cotillo and Corralejo - there are busses going there a few times a day. Taxis are around 15 EUR to Corralejo and 10 EUR to Cotillo so that is also a good option if you don’t want to drive.