So with the cycle lane you have shown, you should cycle along the road until the start of the cycle lane and then move into the cycle lane.
Ah, it's a two way cycle lane - so the cyclist should dismount and cross a busy road without the benefit of lights? Come on, no cyclist is going to do that.
There is one like that on my way home from Blackrock. I do cycle on the footpath on my pedal bike but will dismount if there are pedestrians where the path is very narrow. In general though, I will just cross the road a lot earlier and not bother with those contra-flow cycle lanes.