Unless you look suspicious you will be waved right through to the waiting area where if you have arranged for a transfer you should see someone holding a sign with your name or something that kind of looks like your name. Otherwise keep walking out the front door of the terminal to the buses and taxis. Not to endorse a particular companies product but a couple years ago my wife convinced me to buy a bag from Eagle Creek that is both a suitcase and knapsack. The frame zips away. I don't even know it's there.
Suitcases are cumbersome.
Even wheels are no bargain, especially going up steps and uneven pavement in the villages. To the Samsonite crowd a backpack might seem like sacrilege but there's a reason why they are so popular. They make life easier. The new airport does have a luggage storage facility. It is located on the ground floor of the International Arrivals terminal.