Is there some Aereo equivalent that I can have at home? Would love a simple solution to DVR stuff by way of antenna.
Go here to see what kind of antenna you'd need: http://www.antennaweb.org.
For the tuner and recording device, there are several options. I think most people use a PC + a tuner card + scheduling/recording software like Windows Media Center or MythTV. I'm using MythTV w/ XBMC as the frontend.
I do use an antenna at home but have not tried any of these DVR options. As an aside, it's funny to me that many people (not you) have seemingly forgotten that broadcast TV exists, or are surprised that it's an HD digital signal.