Make sure to check out the many online maps available of Chiang Mai before departing for this historic city.
Familiarising yourself with the city is easy as it can be broken down into two main parts; the old city and everywhere else!
Chiang Mai Old City Sightseeing & Night Bazaar Street Market Maps
If travelling further out to Nimman, the Night Market or the Zoo are within walking distance, but you may wish to take a Red Truck (Songthaew), Tuk Tuk or hire your own scooter as the distances may be too far (and the weather too hot) to travel by foot. Uber is also available in Chiang Mai and is very cheap and reliable.
Here is a link to a high resolution PDF Map that you may wish to print.