As for your case- you might need both slots for one card or something but I'm SURE it will fit. If you're curious you can measure. I would go with a 500W PSU or something if you're running an 8800, but really the 8800 is the best out there, so only go with that if you're all about spoiling... errr.. treating your kids. The 7900 should do the trick, if not an 8600 or something. Either way you're talking pretty good stuff. I'm replacing my computer soon here but I'm running a 9250 and that's been decent enough for me and I'm 19, so I think they'll survive. Integrated graphics really don't do well though, I would agree with your kids on that.