I'm dealing with this router/modem set-up my ISP provided my family with. My mother is too stubborn to listen to me about getting it changed so i'd like so advice on how i can optimize this piece of trash to where it's usable. Currently i can't even use Youtube it's so bad, it also runs with about 600ms of ping.
Any suggestions or solutions would help
If your wired connections has a reasonable ping, then the problem is just with the wireless and the easiest thing to do is to add a new router configured as a wireless access point. If N dual band is what you want, then the ASUS RT-56U is probably your best bet -- great range and best in class wireless. As long as she will let you attach the ASUS to your old router in an LAN to LAN cable connection I can walk you through the settings that you need.
You may have a bad radio on the TG862, which is not a great device to start; interference; or too many users doing too much for the available bandwidth particularly if there are any legacy G device connected. Adding a wireless AP should solve any of those issues and would give you a private wireless channel.
Download and run the free wireless analyzer inSSIDer from HERE and go to the network tab to see other wireless signals by channel and signal strength. You want to be on channel 1, 6, or 11 (the non-overlapping channels) and use whichever one that nobody else is on if possible. You would like to see -60dB for your network at the location where you have your computer -- what signal strength are you getting now?