Two free parking lots are available
If the small parking lot across from the entrance is full (as it often is), don't bother looking for street parking as the street is narrow and a little dangerous for kids. Instead, go two streets west to N. Wisconsin and take a right. Here you will find a much larger (and still free) Zoo parking lot that is a short walk back to the main entrance. This way, you can use the crosswalk to get your kids safely across Main Street.