The bridge is directly across the river from the National Museum of Photography (within the Royal Library complex), so you should get a good view from there. There's access along the riverside next to the museum. Use the zoom and pan facilities on the map here to see what I mean:
http://www.kb.dk/en/dia/udstillinger/fotomuseum
(Switching to satellite view might make things a little clearer)
You should also get a good view from the Restaurant Søren K. (Again, refer to the map I've linked to):
http://soerenk.dk/