1/60 is not considered a high shutter speed. Indeed, in the US, where domestic power runs at 60Hz, it is often used instead of 1/48 when shooting at 24fps. Some very cheap fluorescents may produce flicker at 1/60, but as a general rule any mains powered light will be fine at 1/60. If you explain more about what you need, I'm sure someone can help you - are you looking to shoot with shutter speeds faster than 1/60? What's your budget? Do the lights need to be daylight balanced?