Hey Gav
Sometimes I work there and this is my route.
Up Morland Road to Norwood Junction and Turn right.
Cycle straight through Anerley and Penge left onto Kent House Road then right into Sydenham Road.
All the way to Catford turn left through Lewisham Straight across the A 20 and Up the Lewisham Road incline.
This takes you straight across the A2 towards Grenwich right at the T junction and theres the Cutty Sark ahead of you.
The lift is always out of action and theres 93 steps down the tunnel, then of course you'll push the bike to the other side
From here just follow any road any way to Canary Wharf.
Cheers George