Yes, you can receive HD broadcasts over-the-air with a good antenna if you live within range of broadcasters, no digital-to-analog converter necessary. I have a basic amplified antenna and can pick up around 20 HD channels, including all the major broadcasters. Since you live only 4 miles away, I would think you could get by without an amplified antenna. You don't need a special "digital antenna" either, as some are advertised. Some will even say "digital ready" but they're nothing more than regular VHF/UHF antennas. I would suggest starting out with a good quality inexpensive one. Remember that you will need to do an auto scan from your TV's menu after you hook it up.
I was going to tryt he whole hook up an antenna and see if I get any channels so I can drop my cable. One question I have is do I need a digital to analog converter if my TV is HDTV flat screen? I didn't think so but just wanted to check. Also, is this really worth trying? I checked to see how far the towers are at the FCC website and mine are only 4 miles away. SO I was thinking about trying an indoor amplified multidirectional antenna. The reading I did said the multidirectionals are good for under 25 miles from a tower and then an amplified would be good if one lives near trees or tall buildings etc, and I live next to the woods but the trees are not that tall so I guess I could go either way...Does anyone have any suggestions? Does this really work?