Running HDMI from DSLR to projector - how to?

How do you run HDMI from DSLR to projector?
I would like to project a wedding ceremony to a projector so guests can see it on a large 10 x 9 screen.
How should I run the signal? Hollyland 300?
Cable seems to be out of the question because I need to move the camera.
What transmitter should I use which I can attach to the camera?
Thanks!

There are wireless hdmi connectors, although they range wildly in price.

Another option might be Miracast, which is a standard for broadcasting display over wireless. There appear to be hdmi -> miracast adapters out there, but I have no experience with them. I have used miracast to broadcast to my TV, however, and it works well for HD.