Alberta's driver's guide says "when turning right from a two-way road onto another two-way road, stay centred in your turning lane, and no more than 1 metre (3 feet) from the curb or edge of the road." However, it then says "If it is safe, complete your turn by turning into the first available traffic lane on the right when there is space to allow you to gently accelerate and change lanes. After you complete the turn, look well ahead along your intended path." Does that mean you don't actually have to stay centred in your original turning lane - you can just turn into the first available traffic lane? Thank you!
I am pretty sure what they mean is "Don't swing wide." That is, cross the lane markings or where the lane marking would be if you went straight across the intersection.
Watch vehicles when they turn--a lot of people swing wide (to the left) when turning right.
From Connecticut's Driver's Manual (PDF) (emphasis mine):
Where there are no signs or lane markings to control turning, you should turn from the lane that is closest to the direction you want to go and turn into the lane closest to the one you came from. This way, you will cross the fewest lanes of traffic. When making turns, go from one lane to the other as directly as possible without crossing lane lines or interfering with traffic. Once you have completed your turn and once it is safe to do so, you can change to another lane if you need to. Remember to always look and signal before changing lanes.
• Right turns. On right turns, avoid swinging wide to the left before making the turn. If you swing wide, the driver behind you may think you are changing lanes or going to turn left and may try to pass you on the right. If you swing wide as you complete the turn, drivers who are in the far lane will not expect to see you there.