Make use of stereotypes
It can be usefull to be a beggar in a street pushing a cart and being weird, no one will notice in certain settings. Any character has its role. However this can sometimes offset some people especially in posh neighbour hoods or busy shopping centers. So in general it is more usefull to really go unnoticed by keeping the hair on your head really crisp and short, no matter if it is done hastily with shears or really good with a trimmer... it does look well-tended to.