On Foot In The City Centre
Sheffield's city centre has seen significant work done to prioritise pedestrian access, including, amongst other things, excellent linkage from the train station to the city centre and a comprehensive city-centre map and signage system. Most things to see and do can be reached on foot. Sheffield walking directions can be planned online with the walkit.com (http://www.walkit.com/she...) walking route planner.
Rail
There is a decent network of suburban rail services serving the Sheffield City region, all of which depart from Sheffield station. Services are operated by Northern, and depart to Barnsley via Meadowhall, Chapeltown, Elsecar, and Wombwell, to Doncaster, via Meadowhall, Rotherham, Swinton, Mexborough, and Conisborough, to Chesterfield via Dronfield, to the Hope Valley via Dore, and to Nottinghamshire via Darnall, Woodhouse, Kiveton Bridge, and Kiveton Park.