/u/Kokumotsu36 - Do NOT buy the previously linked one from the other forum member. It isn't built better, it's the same size. It just has newer components which support a 4K/60 signal, which you don't need with the Epson 8350 projector. The one you linked WOULD be fine... but you would need two of them. One for each source. Or you would manually need to swap your sources out all the time.
Instead, get a HDMI switch with an integrated audio extractor.
A model like this will give you connectivity for up to 4 HDMI devices of your choosing, pass the video signal on to the projector in 1080p resolution, then extract the audio in stereo (or surround sound) for your speakers of choice.
https://www.amazon.com/Switcher-OREI-Extractor-Supports-Control/dp/B09QY4SQY5
This isn't close to what it is like to use a proper surround receiver and surround system, but it will get the job done, is a fair price, and gives you far more connectivity and ease of use.