Look, I don't know what the hell I'm talking about

I am basically looking for someone to explain to me how I can get my A500 to connect to my 19" flat screen CRT from NEC/Mitsubishi.
I don't know doublers from troublers and adapters from scanners.
I want to play games on this setup, so presumably it has to not mess up the aspect ratio, a subject of which I know nothing about.
If you can help me establish some clueage for myself, I would be greatful
