You don't really want to use two routers... That is really messy especially with home grade routers, I wouldn't even try.
Like Lerxst said, if you need more ports use a switch. Switch will just do L2 MAC switching and the router can take care of the routing.
There should be nothing between you and the router facing the internet besides maybe a switch.
<Internet Cloud of Magical Fairies> <Router> <PC>
OR
<Internet Cloud of Magical Fairies> <Router> <Switch> <PC>