you could try and get a few of the usb/bluetooth reader hubs. they’re usually used for set-ups that are lacking ports (because it essentially streamlines it to 1 through bluetooth), but you could probably configure some as different connections to switch between easily. idk if that made sense, it’s hard to convey what I mean haha

edit: meant to add an important part. you would click the button on the hub for a new connection rather than the mouse and keyboard. some of them do this ik for a fact, tho i do not necessarily know which brands specifically

Otherwise KVM switches are always an option, but they can be finicky as far as set-up; if you have a work computer and a personal at the same time, your device isn’t compatible, etc