http://www.edinburgh.gov.uk/download/downloads/id/2249/10_07_21_-_baileyfield_masterplan_-_pre_meeting_paperspdf.pdf
This is from 2008 but has some interesting details, e.g.
"Some parking should be provided on street, without dominating the street with cars or compromising pedestrian safety.
Shared space principles to be adopted and low design speeds used."
"Focus on choice of pedestrian activity
Minimise car dominance
Street surface design and shared space principles"
It looks like the plans for a park surrounding Fishwives' Causeway were scrapped, though interestingly this article from Sept 2016 still has it marked as a pedestrian link:
http://www.edinburghnews.scotsman.com/news/500-new-homes-planned-for-portobello-site-1-4224538
The section beyond Portobello High Street is a new path along Figgate Burn, presumably a separate council project?
While this is a bit more encouraging, I can't find any detail on what the road will look like. Maybe that is down to separate council plans too?
EDIT - plans for the other side http://www.portobellocc.org/pccpn/2016/09/06/baileyfield-south-masterplan-for-500-homes/