Unfortunately, your HTIB does not have any high quality video connections - ideally, you would need either component or HDMI outputs. Since you have none of those, the quality will be mediocre at best. Your best choice is the YPbPr cable - it gives the best quality of the three, but is still limited to 720p at best, and that's assuming you have a good converter (none of those signals are directly compatible with your monitor inputs).
YPbPr is one type of component, yes. I somewhat misspoke there, as I wasn't thinking. For component to really be useful though, you would need a component input as well, which is why I didn't think of it as the greatest connectivity. That is because the signal is not directly compatible with VGA or DVI, so a more complicated conversion is necessary than if it had an HDMI connector. As for the converter, it doesn't matter which one you get - it isn't directly compatible either way, and would need the signal format to actually change (unlike an HDMI-DVI converter, which use the same type of signal, just different pin locations and the HDMI has audio).