The only place on my commute where I interact with left turning vehicles (we keep left, so it's the same as your right turning ones) we have a bike lane which strongly implies bikes going straight ahead have right of way

When it's a car turning, I make sure I'm not going to be in the intersection until they are already turning

When it's a public bus, they wait for me before moving. I think our bus drivers get some instruction on how to act around bikes