The net transport of surface waters actually tends to be orthogonal (at 90 degrees) to the direction of the prevailing winds. This results from a special case of the Coriolis effect called a "Nansen spiral" (the Coriolis force works in all three dimensions, including "down," which is not something I recommend thinking about unless you want a headache). The result, broadly, are zones of convergance of surface waters and downwelling wherever winds blow in opposite directions, and divergance where they blow in the same direction (such as the trades along either side of the equator).
Geostropic currents, which are the large-scale cyclical currents in the oceans generally run clockwise in the northern hemisphere and anticlockwise in the southern hemisphere. Local currents are largely determined by sources of fresh water (e.g., rivers) and local topography (sea canyons, sea mounts, continental shelves, etc.)
If you post an image of your world map on line, it would be easy enough to plot the general wind and ocean current vectors.