Re: Alternatively....
USB HID is such a broken thing security wise, maybe the USB mouse / keyboard is malicious. I'm not sure if a PS/2 mouse is safe.
A PS/2 keyboard could have a keylogger and intermittent mobile modem to report home built in?
I just can't see any advantage to a wireless keyboard or mouse anyway, liable to run out of battery at awkward time, the stupid keyboards sleep and miss your first few keystrokes, and wired is instant after PC / Tablet sleep, the BT types are slow to re-connect. If 2.4GHz and your WiFi is 2.4GHz and weak, it may make it weaker.
A USB mouse is £1 to £10 for a perfectly good one.