Travelling by car is probably the fastest way around the city.
Grand River Transit (http://www.grt.ca/) bus system is ideal for getting practically anywhere in Cambridge, with routes that extend towards Kitchener and Waterloo. The fare is currently $2.50 per ride.
It is also possible to get to many points of interest by walking. Most hotels are near malls and major shopping centers. There are also several reasonably priced car rental services in the city and in Kitchener nearby. Walking is probably most convenient within one of the three communities; it's a bit of a long walk between Galt and Preston and Hespeler.