There are directions to the path from there, which misses out the start on St Phillips road and instead goes under St Phililips Causeway (one of the free roads I'm not keen on cycling on).
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From George Jones road you can follow the blue line which will actually have signs (not brilliant ones) to the cycle path which is marked in red. If I'm coming from Temple Meads sometimes I take the yellow/blue route to get to the path and sometimes the green route.
Best go the green route to start the Path properly. I live in Staple hill, so I'm lucky enough to use the Path for at least 75% of my daily commute

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The path is an absolute gem in Bristol's crown. From the start (some of the industrial units opposite once housed the hospital interior sets for
Casualty), it start gently and only starts going really uphill in Easton. The lower part as the path goes under Lawrence Hill was once an infamous pinch point but was recently widened. The surface is all asphalt but watch out for some tree-root damage. Stop and rest a moment on the railway sleeper bench at Greenbank for the view:
You'll enjoy going through the Staple Hill tunnel, stop and have a look a bit further on inside the old Mangotsfield Station. It inspired Arnold Ridley to write
The Ghost Train play. He later found national fame as the dotty Godfrey in
Dads Army. The station is just a shell now and you can sit on the edge of the platform and watch the world go by. And if you get to Warmley, stop for a cake at the cafe and if needed, you can use the Tardis toilet..Yep, they have a police box loo. I hope you enjoy the path and let us all know what you thought about it.