While Bluetooth keyboards are very common and often have a button to switch between multiple devices, I came across two major limitations. First, I sometimes need to access the BIOS/UEFI, which is not possible with a Bluetooth keyboard. Second, I use a single keyboard across three computers, one of which is dual-boot. Because the dual-boot machine acts as two separate devices, I have run out of available slots on my keyboard, which can only switch between three devices.
Problem 1: Using Bluetooth keyboard with a multi-boot PC
Problem 2: