I hope you realize that HDMI uses signals that are high speed (not some slow arduino or other uC I/O). If you attach a connector to the board via jumper cables don't expect your HDMI to work.
Get a board with an HDMI connector already built into the board.
A pretty interesting board was some crowdfunded board called snickerdoodle and a addon board that was called picrusher or something that was supposed to make the snickerdoodle better than a Raspberry Pi in every way (except I imagine in power consumption ;-)).
There are a few other options with HDMI, but I'm too lazy to search for them, just go to Xilinx or Altera's web site and look at the development boards for their parts.