Quoted from dsuperbee:They sell HDMI splitters that do a good job of splitting the signal. HDMI can be used for about 75' or so before you need to add an inline amp to boost the signal, so there is no reason why you could not run HDMI to all 3 TVs.
I agree with this. Plus it will be versatile in the future if you wanted use them as monitors from a PC located at your wiring origin. Also, Cat5 is so cheap and small you should run those through as well to future proof.