Ceiling Mounted Projector

BoardsMember

I am thinking about a ceiling mounted projector for occasional use - sports, movies. Streamed vis chromecast. I can research makes/models/specs on projectors. But wonder what my budget should be to get a half decent one....projecting onto a screen about 3.5 metres away. I'd welcome any suggestions.

The main question I have is on overall setup for source/sound. I have an unused sound bar with sub. It has Bluetooth. Would it be possible to plug a firestick into the projector and connect to the soundbar via Bluetooth?

Otherwise I'm told to wire 8k fibre hdmi cable from projector to wherever/whatever my source and or amp/speaker solution is.

This is only going to be for occasional use, slight folly - I have a wired 5.1 system elsewhere. So if it was possible to keep it simple/cheap initially and re use the soundbar, not need an amp, it would be great.

BoardsMember

https://www.richersounds.ie/p-206513-optoma-hd146xw-white-full-hd1080p-3d-projector.aspx

This one mentions Bluetooth....does that mean Audio out, ie I could connect to soundbar.

Or maybe, given I'm re wiring, I should just put in a 3.5mm audio cable and an 8k fibre hdmi cable to cabinet below screen to give me flexibility with source and audio.