another possiblity depending on the routers firmware is using the second router (the first you bought) as a hub and link the two routers either with cat5 (allowing you to have the second router in an accessible location) or wireless meaning it can be anywhere.
before i sold my 360 i had:
360 and ps3 linked to router 1 - ps3 was wireless and 360 was wired. pc was conncted to second router (which was also the modem) and that was wired. and finally my psp was connected to router 2 via wireless. im not saying its perfect but it worked. basically what im saying is try and use the second router to extend the range of the wireless if possible.
gl.