switchblade

one press moves your Logitech keyboard and mouse to the other Mac, together.

Download for Mac
the switchblade menubar panel: three hosts, Host 1 current, m2 set to Send Here on Lock, mouse at 82% and keyboard at 67%, Magic Switching on
the menubar panel, at true size
how
press Easy-Switch 1, 2 or 3, click the mouse’s top button, or lock the Mac.
needs
a Unifying or Bolt receiver and macOS 12 or later.
skips
Logi Options+, an account, a config file.