There are plenty of taxi companies in Northern Cyprus, particularly in and around larger towns. Depending on the firm, you can book a taxi by phone or online or you can get one at taxi stands or from their hubs. Fares are pretty reasonable by European standards.
Sharing taxis is very common in North Cyprus, with special taxi stands set up for this very purpose. It’s a good way of saving money. There’s no pressure to do so however, so don’t expect strangers to start piling into your cab halfway through the journey.
Most taxis are metered, but the meters are not often used, so ask the driver how much the fare will be before you get in. We had partial success in negotiating fares, so ask whether the driver will consider lowering the fare by 3-4 euro or so. If they refuse, judge for yourself whether you think their offer is good value.
Most of our taxi drivers were polite, though driving standards weren’t great and it was a bit of a shock to see them answering their phones mid-journey. Doing so is just as illegal as it is elsewhere in Europe, but everyone seems to do it anyway.