I haven't seen any of the units that are part of the government rebate program that have HDMI, or even s-video or digital audio output. You can get outboard digital tuners that have HDMI, though. Samsung has a unit, but I forget the model number. Panasonic has a DVR/DVDR unit that also has a digital tuner and HDMI, but those cost around $300.
The thing to consider is whether or not your TV can handle that type of input. Can your 27" Apex TV take one? My TV can take s-video at best, so the video part wasn't a concern to me. I just don't like the lack of digital audio outputs, because I'd sure like to take advantage of the 5.1 surround.