Safeway stores also have a Safeway ATM Network . The name `` Safeway '' came from a contest that was held in 1925 to devolpe a name for the store and Safeway was chosen . The company expanded into Canada in 1929 ( which became Canada Safeway Limited ) ; into the United Kingdom in 1962 ( which became Safeway plc ) ; into Australia in 1963 ( which became Safeway Australia ) ; and into Germany in 1964 .