nested_dir_traverse_&_print_name.sh

#!/bin/bash

# This method finds last name separated by /, helps in getting directory or file name without path.
print_name() {
	echo $1 | awk -F "/" '{ print $NF }'
}

dir_name=/Users/tanzyy/_temp/logshomedir/*

for d in $dir_name; do
  
  if [ -d "$d" ]; then
    
    # Here you can find example of how to call method in echo method
    echo "Its dir - " $(print_name $d)

    for f in $d/*; do
    	echo "The file is " $(print_name $f)
    done
  else
  	echo "Its file - " $(print_name $d)
  fi
done