Sharing the same monitor is probably going to become very tedious quite quickly for you (switching from GM to players view while hiding content,...)..
I am mostly playing with one laptop and one external monitor (as described here
), which means that I carry my laptop wherever we are playing (with some cables) and that I connect it on any screen available (computer monitor or tv). When possible (playing at home) a second computer and a wireless mouse are fine, but that's icing on the cake.
Btw, I intend to try connecting with chromecast or apple TV to be free from cables. Has anyone tried it?