You'll need to consolidate the networks. Here's what I recommend: Turn OFF DHCP on one of the routers, lets say you're parent's router. Change the IP of that router to 10.1.1.254. Change your DHCP range to a smaller window to allow for some static IP addresses. On your parent's PC's, manually setup IP addresses, with addresses outside of your DHCP range. When specifying the gateway and DNS server, use 10.1.1.254 so that traffic will go out their Internet connection. You're PC's will continue to get DHCP, and will use your router as the gateway and DNS, thus your PC's will go out your network. However, all the PC's will be in the same subnet and should be able to communicate.
Other factors are Windows Firewall: you have to enable the execption for File and Printer Sharing, and you have to make sure you have shared drives/printers on the PC's you wish to access.
Also, normally you would need to use a cross-over cable between network switches, but your DSL-504T features auto-uplink so you should be fine with a regular cable.
There are other options involving bridging the two networks, but this seems like the easiest way to accomplish what you want.
If you want to bridge using Windows, you will need two nics in your PC:
http://technet2.microsoft.com/Window....mspx?mfr=true