@IWRATS no worries, it was nice to meet you properly :)
Ah yes, I have walked that route a few times but I don't think that I would fancy cycling it. The woods route involves turning left out of Craighouse Gardens and then crossing the road immediately and heading through the gap in the wall:
https://www.google.co.uk/maps/@55.924507,-3.224745,3a,75y,146.35h,74.61t/data=!3m4!1e1!3m2!1sn3NntsDuQ1xOJ3oxfBUb3g!2e0
I would then follow the path along, down to the right and back round on itself to pass the pond, exiting up the side of the exercise/tennis centre emerging here:
https://www.google.co.uk/maps/@55.923879,-3.236253,3a,75y,174.52h,68.67t/data=!3m4!1e1!3m2!1sgl3_nOYLr--lV0ZlFmAG3w!2e0
Take a left onto Colinton road, then a right after the pedestrian crossing down Craiglockhart Road North and onto a shared use path that takes you to the canal:
https://www.google.co.uk/maps/@55.923406,-3.238699,3a,75y,11.18h,60.12t/data=!3m4!1e1!3m2!1sc_GIk9Md-UpXJrA_epeFXw!2e0
Unfortunately the map routing can't handle that, but it should be fairly self-explanatory and there are a number of variations that can be taken in any case. I do like keeping up with the Craiglockhart pond swans, although there can be a fair number of dog walkers in the way and there are also a number of gates to negotiate.
I gave up trying to get the forum to show the correct links (and it is probably technically Craighouse woods and then Craiglockhart pond come to think of it...)