Like much of Greater Manchester the area is quite well served by public transport.The metrolink tram service is reliable but pricey and it is well worth considering a Metromax day ticket if you plan a few journeys on the system. Most bus services in Salford are provided by "Firstbus". Day tickets are also available. Some night bus services serve the area on friday and saturday nights.
As with most larger UK cities an A-Z map is a must. Most of Salford should be in any smaller Manchester A-Z and all will be in any A-Z ,or similar, covering Greater Manchester.