From the Downs follow Westbury Road past Badminton School, then turn right to stay on Westbury Road (rather than going down Falcondale Road). Turn immediately right again after Majestic Wine into Grange Court Road. The Bowling Club is on the corner where Grange Court takes an 80° turn to the right. The main entrance is about 40 yards beyond the corner.
You can also thread your way through from Henleaze Road in a number of ways and approach the club from other end of Grange Court Road.
There should be ample on-street parking available.
There is also a small car park at the foot of the bowling green, next to the church and opposite Redmaids school. Be careful using this car park: it is is quite awkward to negotiate, and when you have parked you will need to use the main entrance round the corner rather than attempting to walk round the green, which may be roped off.