The best way to get around the Centro Historico is definitely by foot. All tourist attractions are within walking distance.
By Pedicab
There are a few pedicabs that can carry you within the Centro Historico.
By Tourist Trolley
This trolley in spanish Tranvia TurÃstico departs from Juarez Avenue 66, between the Alameda and the Palacio de Bellas Artes. Ride lasts 45 minutes around many interesting spots in the area. Operating hours Monday thru Sunday 10AM to 5PM.