Online gaming router port configuration, do you know how that works?

It is either called “port forwarding” or “virtual server”, depending on your router. They may call it different things, too. Consult your manual on that. You may have to configure your software firewall as well.
The page in the online config of your router should look like this

Server IP address is the LAN address of your computer.

I don’t quite understand your question. Are you looking for instructions to do port forwarding on the router or on a PC?
If it’s a PC the answer will depend on your OS.
(Obviously if you are using a PC instead of a console you will need to open the appropriate ports in your OS’ firewall, if equipped. Do consoles have firewalls? I wonder.)

@koanhead Are you looking for instructions to do port forwarding on the router or on a PC? I am trying to figure out how to open the listed ports in the router and if I should have it set as port forwarding or port triggering, I am not really sure how the traffic with the games or game site works, I want the setting that allows all the features that are suppose to work to operate

If you’re trying to open the router-side ports, the instructions are the same as for a console.

Is the service name FTP, HTTP, PPTP, QuakeII/III, Telnet, etc or somthing else?

You probably want port forwarding rather than port triggering. Forwarded ports are open all the time and are generally used to allow access to a server that is behind NAT. Port forwarding is something of a security risk. Port triggering allows the ports to be forwarded dynamically when your computer requests a connection.
The “service names” are the same as what you have in parentheses in your question: IRC, Voice Chat, etc. It’s unlikely that all of them are listed in your router’s configuration menu. The service names are not that important, they are there for auto-configuration (if supported) and so that you know what those ports are for when you go back in there to change things.
Based on @ragingloli‘s link here’s what you want to enter for the first one on your list:

Service Name: IRC
Protocol: (this will be TCP, UDP, or both) TCP/UDP
Starting Port: 6667
Ending Port: 6667
Server IP address: 127.0.0.1 (Not that actually, but your computer’s actual IP address, 192.168.1.1 or whatever it is)

Once you have set this up on the router, if it still does not work, check your computer’s firewall settings.

@koanhead If I have the OS firewall disabled and using AVG, Ad-Ware, or Zone Alarm, etc would I have to bother with configuring ports in the Win firewall?

OS firewall == Win firewall, unless your computer has two software firewalls which would be pointless and counterproductive.
If your computer firewall is disabled (I do NOT recommend this) then AFAIK those other “security” products will probably not prevent your desired gaming connectivity. Of course, they also won’t prevent some script kiddy port-scanning you and running some kind of packet-injection exploit. This last isn’t especially likely to happen to you, but it is a thing that happens every day to someone.
I really don’t think you should disable the firewall unless you absolutely have to. It should be fairly easy to configure the firewall to allow the connections you want to allow.
Do not depend on the wireless router to provide your firewall. It is a NAT device. It may claim to provide “firewall” service, but these little devices just don’t have enough juice to perform true stateful packet inspection along with all the other things they do.

@koanhead The reason I disabled the OS firewall was the AVG was alerting me and quarantining stuff the OS firewall would have allowed through, and some of it was pretty narly stuff. Since it seem to be asleep at the wheel most of the time and the 3rd party zappers and security seem to be doing the heavy lifting I figured what did I really need the OS firewall for, it was just another barrier to get in the way.