With any type of mini-displayport adapter to (displayport/hdmi) where the latter depends on what connection you have on your tv. Can be found cheap on eBay
Hmmm....even the Netgear PTV3000 is smaller than a deck of cards and the Dongles are the same size as a large thumb drive....now if you have to carry the cable and as well then that is a different story, but you will still need the Mini-DP to HDMI adapter of some sorts...
You can this route (but you may need to trim the Mini-DP side because of the slant of the Surface):