Assuming you mean studio lights, you can trigger them with a speedlight, but it should be set to manual mode. TTL mode will fire a preflash, firing the studio lights prematurely.
As for camera settings, generally ISO 100 (or 200 if that is as low as you can get), 1/160 (maybe up to 1/250, but generally won't matter anyway), and select the aperture you want based on the effect it gives (i.e. for sharpness or for depth of filed). Set the flash to match those settings. If you cannot get bright enough, use a higher ISO or wider aperture. If you cannot get dark enough, use a lower ISO if possible, back the light off, use an ND filter on the lens or flash or use a smaller aperture.