Cutting the cable, lets talk options and media setups
I did the same thing when I built my house. Ran cat6 everywhere. Ran RG6 also from the media closet to TVs (for HDMI over coax) and coax also for the exterior cameras, and speaker wire to the ceiling locations.
The Ubiquitis are really nice, but you definitely want to get the Pro version if you're interested in ac - the long range (and cheaper) versions are missing some of the high end radios and you don't get near the throughput you want (though the range really is amazing). I ended up putting 2 APs into the house, which may have been overkill, but I wanted good coverage everywhere (especially after my last house, which had plaster walls, and you couldn't get coverage in the next room. The nice thing about these is they work in tandem (no matter how many you have) so you only see one network and they pass off devices between each other. It's all controlled by software on a PC (or Mac, I suppose) which also keeps stats on what devices are connected, usage, etc. It has all kinds of other features that I don't use, like setting up guest networks, blocking devices, etc.
Remember, though, that the Ubiquiti devices are just access points - you will still needs a separate router. The good thing is you don't have to worry about the wireless capabilites of you router, or even have them. I just used my old router and turned the wireless off. So WRT port forwarding and all that, you can just use whatever you're comfortable with. I've been really pleased with the Ubiquitis - I use them at work, and I've installed them at several other places. They are pretty much rock solid, and their coverage area is really nice.
Oh yeah, also, you don't need a POE switch for the Ubiquitis. They come with power injectors that insert between the switch and device (you can put them in the closet with the switch) that perform that function.