This section is for people physically unable to use the steps at Somerset Road.
Mason Way is one way, but there is little traffic on it and so in practice it can be cycled contraflow with great care; be prepared to stop and give way.
Edgbaston Park Road can be nasty. Since you will only be on it for a short distance, use the pavement if you consider the motor traffic too dangerous (police guidance is that this is an acceptable reason for cycling on the pavement, but respect the absolute priority pedestrians have over you).
Use the pedestrian crossing at the end of the Dingle to make the right turn on to Bristol Road. Since this section of road was not closed when the Selly Oak new road was built, it remains busy with through motor traffic. Fortunately you will not have to make any unassisted turns.
There is a controlled crossing at the end of Colmore Road to help you across Vicarage Road. Vicarage Road is more than wide enough for segregated cycling provision, but of course there is none.