Fiber Optic Cable

I am moving to a place where the cable service is fios (verizon). I need a wireless router because I have wireless devices (iPad, iPhone); Verizon want's prices 2 - 3 time what is on Amazon.

I have never worked with Fiber Optic Cable. I am guessing I will need the router, a Fiber Optic Cable splitter and some length of fiber optic cable.

I assume this because I assume the incoming fiber optic cable has to be split to go to the TV & the router.

I also see that Fiber optic "female to female" cable connectors are available. I assume I will need one of those since the splitter appears to have a male end on the "one" side & two female plugs on the "two" side.

See https://www.amazon.com/s/ref=nb_sb_noss_2?url=search-alias%3Daps&field-keywords=Fiber+Optic+cable+splitter and
http://www.amazon.com/gp/product/B016466YS0?keywords=fiber%20optic%20cable%20connectors&qid=1455309465&ref_=sr_1_12&sr=8-12.

Is this correct?

If not, please advise.

Thanks