Want to Extend Wireless Network

I have Verizon FiOS with the Actiontec MI424WR router.

The router is located in the living room, and my bedroom is on the other side of the house. The signal is much stronger in the living room than in my room where it can be virtually nonexistent at times. What I want to do is purchase either a wireless router or bridge (whichever is needed), and run an Ethernet cord from the FiOS router to my bedroom router/bridge and then create another private network separate from the house network. Is this possible without impacting or weakening the signal of the house network? Theoretically, it shouldn't...correct?

Most importantly, would I have to log into the FiOS router and change any settings? And what devices should I be looking into in order to make this feasible.

Any help is greatly appreciated. 

Thanks!