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Good point on the Anker USB adapter, they are pretty much the only non OEM chargers I trust. Looking at the reviews there's some guy running 6 Raspberry Pi(e)s off them so that'll do nicely.
The video over ethernet option I was looking at before was HDMI over ethernet but I haven't done enough research and have no idea what I'm doing...
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This is what I have for HDMI over ethernet https://smile.amazon.co.uk/gp/product/B08316HNQ6/ (can also get cheaper options without the HDMI passthrough and two power supplies rather than one).
Very simple, plug your HDMI and ethernet in at either end, plug one end into the mains and that's it. In my experience it sometimes cuts out a bit with CAT5e, seems fine with CAT6.
Hadn't seen the Switch Flex Mini before. May pick up a few of those when I next need to add some switches.
You can run multiple USB things off one power adapter, just make sure it's a decent one. You can run plenty off this for instance
https://smile.amazon.co.uk/Anker-Compact-10-Port-PowerPort-Charging-Black/dp/B00YSA0WI8/
I have multiple, daisy-chained, unmanaged switches in my setup with no issues. For PoE stuff I have a 4 port switch with PoE which is enough for my needs.
For power I have one of these
https://excel-networking.com/catalogue/product/D13-12-EXL
For video over Ethernet that doesn't go through the network at all in my setup. There's a separate adapter at each end that plugs into HDMI.