(Win 10) Move all windows of a single programme to a different screen?

Just wondering if anyone knows of a way to do this?

Here's my use case in more detail

I have a laptop and a PC, with the laptop connecting to one of my 2 monitors via an HDMI splitter. This allows me to use my PC on both screens most of the time, but then quickly switch one monitor to show the laptop, when required.

Only thing is that doing that causes all PC windows* on Screen 2 to jump to Screen 1, while Screen 2 now shows the laptop's windows. That's fine, and I get why it does that (effectively the PC thinks I've disconnected Screen 2).

* (usually it's a bunch of Chrome windows, 5-7 of them - for work/multi-client reasons this works best for me and my PC handles it fine)

When I switch the HDMI splitter back, all PC windows remain on Screen 1, while Screen 2 is once again showing my PC desktop, but with no windows. Ideally all windows would flip back to where they were before, but I don't think there's a way to do this, and again, that's fine.

My next preferred option is to be able to able to move all Chrome windows over from Screen 1 to Screen 2 quickly - and this is what I'm looking for advice on. I can't seem to find a way to "select" all/multiple Chrome windows and shift them to Screen 2, but it feels like there must be a way?

Any help greatly appreciated :-)