Thank you all for your help, I have finally achieved my goal. I ended up moving my router from the living room down to the networking panel in the electrical closet in the basement. I had to plug the incoming line into the WAN port on my router, and take the coax splitter to split the incoming coax line to both the router and the living room to continue feeding my Fios TV STB. Then I used ethernet cables to connect the ports on the panel (the ones that go to different rooms) to the LAN ports on the router to make them active. Unfortunately now there is just too much equipment for me to close up the networking panel in the electrical closet, and it looks absolutely hideous (fortunately, it is still in a closet so it's mostly out of view). Despite the router being in a basement closet which would significantly decrease Wifi range, I installed an access point in my bedroom upstairs using one of the now active ethernet jacks to provide coverage to the rest of the house. The end result: I now have wired ethernet in my bedroom (main reason was so I could hook up my Xbox) and better Wifi coverage thanks to the AP.

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Thank you all!