Indoor Antenna once TV goes Digital?

As I understand it, many people do not use TV antennas because the signal is analog (i.e. it can be received at varying levels) and can therefore be “fuzzy.” Once the signal goes digital, I think that would mean that you either get the signal or you don’t (i.e. no varying levels of signals). Am I correct in how I understand this? And if so, would it make sense to ditch the cable in favor of a TV antenna that is capable of receiving the digital signal?

(While we are on this, does anyone have a recommendation for such an antenna?)