Re: DVI->HDMI quality issues
Thats a common problem with LCD TV's. Each pixel has to turn on and then off. So, when you get fast moving objects on an LCD TV and the object is going across the screen and the pixel trys to turn off light is still emitted causing the ghosting or lag in the picture. Plasma TV's do not suffer from this.
Most good name brand LCD tv's today are in the 6ms response time or less so shouldn't be an issue with most current models, but still have to double check the specs to make sure. You could try a different HDMI cable, but it's more then likely the TV itself.