Is it better to have a wireless internet connection or a wired connection for my ps3 online games?
Wired always provides more consistent performance, regardless if you're playing on the PSN or surfing the web.
Wired is much better, because it works faster, it's secure, far more reliable. The only downside of a wired connection is a necessity to mess around with cables. On the other hand, you do it only once. I'm using a wired connection.