The phrase "any old how" can mean a variety of things in different contexts, including doing something in a careless or disorganized manner. Some synonyms that could be used to describe this type of behavior include haphazardly, sloppily, messily, chaotically, carelessly, recklessly, thoughtlessly, impulsively, and randomly. These words all convey a sense of disorder or lack of planning, which is often associated with actions done "any old how." When looking for alternatives to this phrase, it's important to consider the specific context in which it's being used to ensure that the synonym you choose accurately conveys the intended meaning.