After many years of continuous use (including WFH for the last few months), I decided to retire my old keyboard and mouse and jump on the Logitech ergonomic bandwagon with the MX Vertical mouse and the Ergo K860 keyboard. Both these devices are part of a line-up that Logitech is currently promoting for multi-tasking between several computers - they can each pair with 3 different computers, and can use a single Unifying receiver to pair to the same computer. I don't work with several devices at once, but would definitely like to not have more than the necessary number of receivers plugged into my computer; unfortunately, Logitech's unifying software only works with Windows/Mac, so I had to do some browsing to figure out a Linux alternative.
There's a nifty tool designed by Peter Wu to get Logitech devices to work with Linux: ltunify. I tried it on Ubuntu 18.04 and it works perfectly out of the box to pair both my devices to the same computer using a single Unifying receiver. In addition, you may want to use Solaar to get a nice system tray which displays battery levels, settings etc for each of your paired devices. You can pair upto six Logitech devices to a computer using one Unifying receiver.