Need a new modem and router for Time Warner Cable.

[Metaformed]

So I currently have the cheap modem/router all in one combo that comes with our connection, It is slow, has a short range, and has other issues like one of the antennas is loos so a light breeze could knock it down. Anyways, I was wondering what router and modem to get to go with my current speeds of 50Mbps down and 5Mbps up. It is slow, but it is better than Comcast and those are the only 2 providers in my location. Anyways, what routers and modem do you recommend. I am on a gaming pc so I will be on Ethernet, but I am the only one, I need to have range to go across the house for the rest of my family. We have 2 Desktops on Ethernet, 2 laptops, 4 iPhones, a couple kindles, and 2 xboxs, and a blue ray. Also, if my memory serves me correctly you can get something called dual band, or something like that anyways, that would allow my family just on their phones, and stuff to use a different, and some what slower connection than the other one that I could use just for high speed stuff like streaming to twitch, gaming, uploading videos ect. Also, the cheaper the better. I can spend more if I have to but, I dont think I need a $300 router and thena $200 modem
Sorry if TMI.

Anyways, TL;DR what are your recommendations for a new router and modem for 50 down 5 up Time Warner Connection.

 

[kanewolf]

Here is TWC's approved modems page -- http://www.timewarnercable.com/en/support/internet/topics/buy-your-modem.html