You can cycle from Brentford in west London to Acton, entirely on quiet streets and protected cycle lanes.
The route is 5.7km long (3.5 miles) and makes use of Cycleway 9 and Cycleway 49.
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You can see a digital map of the route and download a GPS/GPX file to use on whatever device or app you want here:
https://www.komoot.com/tour/196419400...
And you can find a viewer-created and maintained map of all the London Cycle Routes videos here:
https://www.google.com/maps/d/u/0/vie...
I also highly recommend the Safe Cycle London map for route planning, which is compiled by @SafeCycleLDN on twitter:
https://www.google.com/maps/d/viewer?...