NCN5 through Cannon Hill Park has:
SHARE WITH CARE
[wheelchair symbol] [pedestrian symbol] [bicycle symbol][1]
Cyclists - Please use your bell
Please keep dogs under control
Both on metal signs at the entrances and stencilled onto the tarmac in a few places.
Which I think is pretty reasonable. I particularly like the explicit instruction to use bells, as it means that pedestrians are much less likely to get upset at you for ringing it. Not a normal route for horseists, although I did see some horse poo once, the usual conflict is between cyclists and dog-emptiers.
[1] I tried to do these in unicode, but SMF got upset.