You simply want to remote desktop to another PC in your house. You enable remote desktop on both machines. Seems like you should be able to do it then eh? The problem is probably that you didn’t pay Microsoft enough to do that. Windows 7 Home version doesn’t support other machines remoting into yours. Get TightVNC instead. Now if I can just figure out how to use machine names instead of IP addresses in TightVNC.
you can always try MACHINENAME.local depending on your router/dns setup that may work