Will a Roamio work with my apartment setup?

Hello everyone!

So I am thinking about getting my FIRST Tivo box...the Roamio Plus is what I've got my eye on. This being my first, please forgive any ignorance I may show, or any stupid questions I may have.

But I wanted to ask here (instead of, say, Best Buy, or Time Warner Cable) because you all are the experts :up:



So this is my current set up in my NYC apartment, wired for Time Warner Cable.

• Office - This room has a coax cable out from the wall, connected to my modem, which is connected to my wireless router via ethernet, which feeds everything else in the apartment wirelessly (computers, AppleTV, Roku, etc).
  


• Living room - This room also has a coax cable out from the wall, which is connected to the Time Warner Cable DVR.
  


• Bedroom - This room doesn't have a coax cable out from the wall, so all I have connected to the TV in there is the Roku.

So I guess I should just tell you my ideal setup, and you let me know if it will work?

• I would like to keep the modem/router in the office, as is.


• I would like to have the Roamio in the living room, connected to the internet wirelessly.


• I would like to, down the road, add a Tivo Mini to the bedroom TV, connected wirelessly.

That SEEMS simple enough to me, but the more I read, the more confused I get.

Do I need to have the Roamio connected via ethernet?

Do I need a MoCA connection? (I still don't fully understand what that is)



Thanks for any and all info you may have in advance!