Hey man, no worries as we are here to help as much a possible to get you going.
Yes wired is preferred for gaming. Distance isn't an issue as LAN cable and go up to about 92m on one length before you need assistance. I Recommend using CAT6 able. And yes, it's preferred to wire directly in to the back of the router with the PS. IF this can be achieved then this leaves the wireless open for you and the wife to use what ever kinds of wireless devices you need.
Once this is done, the we can help you set up the routers QoS options so that PS gaming won't interfere with your other devices and make sure you get Internet while there gaming.
Bridging seems to be a bit complicated however is doable and there is people who can help with this if needed.
Let us know.