"Do any old how" is a colloquial expression meaning to do something carelessly or without attention to detail. Synonyms for this phrase include "haphazardly," "sloppily," "recklessly," and "irresponsibly." These words all indicate a lack of care or attention to what is being done. Other synonyms include "chaotically," "unsystematically," "disorganizedly," and "helter-skelter," which suggest a lack of order and structure in the way something is done. Overall, these synonyms all convey a sense of doing something without much consideration or thought, which can have negative consequences in certain situations.