Bluetooth USB Receiver – Does This Exist?

So, I have several Bluetooth peripherals, including my mouse, keyboard, controller, and some speakers. While that’s great, I also use a docking station, and occasionally I would like to be able to swap computers. And of course, I then need to pair all those devices with my other computer. Yes, I know some newer devices support multi-device pairing and switching, but these specific devices don’t…and even so, I wouldn’t want to have to manually switch multiple devices to control the right device. Logitech (which these peripherals aren’t) has this unifying receiver USB dongle. So, here’s my question…does anyone make a generic virtual Bluetooth/USB dongle that I could pop into a port on my dock? Tthe devices would pair with that dongle and the dongle would stay in the docking station, so that when I dock a different computer everything just moves over to it. Anyone aware of anything like that?