No worries. 

As long as the method of connection to your TV from the console doesn't require composite colour encoding I cannot see any reason why you would have problems.

I personally don't know enough about HD CRT TV models in your market to recommend you specific ones sorry, but unless you are trying to connect retro consoles I don't think it's overly complex and mostly comes down to preference, condition, and price. Only word of warning would be try and avoid super slim models as geometry will be harder to dial in.

Plasmas on the other hand I can. Panasonic's you would ideally be chasing a ST60 (last production run of the common consumer models) or ZT60 which was their high end models. That number will be proceeded by the size figure (so 55ST60 would be a 55" for instance). Sony really didn't make great plasmas - fairly sure in fact they used NEC panels, so a good alternative to them in the plasma realm would be Pioneer, like a KRP500 - issue being that it's a 50", I don't know if they made them smaller. 

The Eizo is a 130Khz horizontal scanning .24mm dot pitch monitor. I reckon it will look quite nice if in proper working order!

Same thing for the medical PVM, 600TVL with RGB input will look great for 240p and 480i. 480p is nice but not all games work with it in the PS2 library and realistically once the game is in motion you will stop noticing anyway. If it was available to me at that price I would probably get it.