Analog signal transfer ? (composite video)

any relay could work, but most are not going to be able to be directly driven from the arduino (transistors and resistors) + there is the back emf pulse when the magnet cuts off, that could kill your arduino also (diode), I suggest you search the forums for more info (topics about normal motors are the same)

where as a analog mux like the CD4052, you only need to worry about power ground your signal hookups and 2 wires (probably 3 on the 4051)to the arduino to select which channels you want connected in the mux