If the fixtures that you are putting the black light tubes in are still painted white, you need to repaint them with silver or chrome or some similar highly reflective, but non-phosphorus containing paint (e.g. not white) That will significantly reduce the amount of reflected purple-white light.
Also, after looking at the video it almost looks like you purchased black light white (BLW) or "growing" lights, not quartz "woods glass" black light blue (BLB) tubes. These will produce much brighter whole-spectrum white-light as well as a little bit of UV.
Post all of the part number information that is screened onto the tube or if you still have the cardboard sleeve for it (a picture would be ideal) and we can let you know if you purchased the right stuff.
Also get fixtures with 50% surrounds to force the light down instead of parallel to the ceiling so it doesn't illuminate the ceiling as much. Again, paint these silver/chrome to keep them from illuminating so much.
> when playing Space invaders you can't see the moon and you can see the burn in on the monitor.
The reason most monitors glow and show their burn-in is because the black light UV will illuminate the phosphor on the face of the tube, unless the tube is covered by a piece of plastic that blocks the UV. Glass will not block UV and therefore the glass bezel and mirror in the SI will allow the UV rays right onto the tube causing it to glow, even with the game off. This is one drawback of blacklights in game rooms unless you have at least a clear piece of plexi, or ideally a tinted piece of plexi over the monitor to prevent the gray + burn-in showing glow.
Finally, though it is not the problem in your room, do not cover the bulbs with any plexiglass -- again, because that will absorb most if not all of the UV and significantly reduce the impact of the lights on the carpet. You need to have bare bubs or cover with glass if they need protection.