Will there be any problem if I move my face wash from it s original bottle to a cleaned used bottle?

it depends what was in the used bottle, aslong as it wasnt harmful chemicals or something that had mold or gone bad you should be fine. fill the bottle with hot water and then wash it out to get rid of any germs or bacteria that may still be in it. worse comes to worse you can always head to the dollar store and get those travel size bottles or a baby formula bottle and put it in there!