Well... your map is a bit tough for that, it's much easier with big oceans like the ones on Earth, anyway you need arrows to show the direction of movement, and just say that currents going poleward are hot and those going equatorward are cold. Oh, and what is the projection you use for your map? Here it looks like the north pole will have a problem. For the currents, follow the east coast of your big continent from 60°N or S to the equator or another coast, then east until you reach another coast and then north and eventually west until you buckle up. Coasts are coasts of big islands or continents, small islands are easy to get around.