If you are travelling from abroad, you can get to Limassol by flying to the Larnaca or the Pafos airport.
Travelling from Larnaca
Larnaca airport is 66 km from Lemesos. From Larnaca airport to Limassol you have 2 transportation options, taxi or bus. The cheapest option is to take the Limassol Airport Express bus, which runs 24/7 and costs 9€ per person. The trip lasts approximately 70 minutes. You should be able to get a ticket on the bus. The public bus terminal in Larnaca airport is located right outside the arrivals terminal. All you have to do is exit on the Upper Departure Level and follow the clearly marked green signs.
Your second option is to take an airport taxi. Larnaca airport taxis use a taximeter, so the cost will depend on the distance to your final destination, the estimated cost can vary between 50€ and more. The taxi ride will take approximately 40 minutes.
Travelling from Pafos
Paphos airport is located 63 km from the historical centre of Lemesos. Buses from Paphos airport will take you to Aghios Georgios Havouzas Church in Limassol. The duration of the trip is about 45 minutes. The fare is 9 Euro for adults and 4 Euro for children from 3 to 12 years. Pay to the driver upon entering the bus. Taxi services are also available at the Paphos airport with an estimated cost of around 45€.