You want to turn right at the junction. What is the right thing to do?

Your answer is fully correct because both selected options are important rules when turning right at a junction with a cycle lane.

According to German traffic rules:

1. Changing lanes as early as possible before the turn is necessary. This allows you to position yourself safely and clearly signal your intention to other road users, including cyclists and other vehicles.

2. You must not impede cyclists in the cycle lane. Cyclists have the right of way in their designated lanes, and you must wait for them or safely merge only when the lane is clear.

The third option about crossing the cycle lane at walking speed is not correct here because it applies more when you are entering or crossing a cycle lane on foot or in specific situations, but for turning by car, you should follow option 1 and 2.

Remember, early lane change and respecting cyclists' right of way help avoid accidents and ensure safe, smooth traffic flow at junctions.