At the visitor centre there are bike racks near the bus stop and a few more dotted around the cycle path south side of the bridge. When you head to the north side where you want to go for Battery Spencer you have bike racks in the car park areas to lock you bike at the foot of the hill then its about a 20-25 mins walk to the top of Battery Spencer. Alternatively you can bike to the top and there are railings that you can lock your bikes there too.
I'm sure there's a pole or bike rack for bikes. Following the nearest biker(s).
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