Local (city and county) laws are usually referred to as ordinances. Another useful term might be resolutions. These laws are usually passed by a town, city or county council.
The best way to locate a town, city or county's laws are to visit the official websites of these councils. Then look for a page that lists their ordinances and resolutions. These laws might all be gathered in one official living document, called a code. If it's a code for a city, it will probably be called a municipal code.