Large roundabouts are pretty safe, if you've gone through the learning process we have in the UK. I did about 30-40h of practical lessons with an instructor, over half of which would have included multi-lane roundabouts.

The lights control the flow, so no need to worry about giving way. You pick your lane in the lead up using the signs and road markings. Then you follow your painted lane, the markings of which guide you all the way through. The markings and lights do all the work for you, unless you're in the wrong lane at the start. All your awareness is focused on looking for hazards of people who are in the wrong lane because your route is dictated by the road markings.

I will admit, they look complicated - especially if you've never driven one before. My first time around one was a bit nerve-wracking, but they quickly become second nature.