that sucks. probably related to you owning a "goodmans" brand LCD. is that like 'panaphonics' or 'sorny'?
so you're saying that if you have your ps3 on, and change to the tv input, the screen is blue until you unplug your ps3? it sounds like your tv doesn't change inputs in hd mode until it loses the previous connection. with that setup, i would say that there isn't much you can do, since it's a limitation of your tv.
maybe the best solution would be to get an external tuner, plug everything in through your receiver, and have your receiver output to your tv. that way your receiver does the video switching.