From Media City:
Broadway / Pacific Way to Eccles (decent cycle path). Follow one way system through Eccles past Aldi. Cross M602 using Peel Street. Imm left over M'way bridge, left on mini roundabout takes you to the golf club, not the shortest route but the way I go the the Mrs' office.
There is another crossing of the M602 near Eccles train station for bikes but this will leave using Gilda Brook Road to get to Regent Street and St Mary's Road, there is a cycle path but access is a pain.
I stay off the A57, narrow cycle lanes and tram tracks cause me problems on skinny tyres, although this is fastest
HTH