Feeding several devices

[IriDium]

I guess you could use an HDMI splitter but I've never tried. Nor can I say what the output will look like.

If you want the TV AND projector on at the same time, then it should work, however, if you want to have one or the other you'll need a switchable unit.

Looking at what's available - as you'll need a single input and multiple outputs, the cost is about the same as a RPi.