Display HDMI from my directv on my PC

Hello,
I am not sure if this is really a Tuner question but kindof.
Until recently i had a USB tuner and connected via coax to by cable TV provider.
I have now changed to directv and now in my office i have a remove box that has HDMI out. So i am trying to figure how how to display this on my PC like before.
I can not use a card solution i have no more empty slots

Can anyone give me suggestions?

Thanks
Randy