I calculate itemSize dependent on safe area for UICollectionView with horizontal scroll and custom layout.
 
        
Use UICollectionViewDelegateFlowLayout's collectionView(_:layout:sizeForItemAt:). Works like a charm. Setting the size in the completion block of coordinator.animate(alongsideTransition:completion:) in viewWillTransition(to:with:) didn't work for me because the size animation occurs after the orientation animation ends, which looks weird.
EDIT
To get safe area size without creating any additional views, use this:
view.safeAreaLayoutGuide.layoutFrame.size
If you want to use viewWillTransition method you can use this:
override func viewWillTransition(to size: CGSize, with coordinator: UIViewControllerTransitionCoordinator) {
    super.viewWillTransition(to: size, with: coordinator)
    // Before rotation
    print(view.safeAreaLayoutGuide.layoutFrame.size)
    coordinator.animate(alongsideTransition: { (context) in
        // During rotation
    }) { (context) in
        // After rotation
        print(self.view.safeAreaLayoutGuide.layoutFrame.size)
    }
}
In the completion block you will get your desired size, note however, that this code will be called after the rotation.
Original answer
Solution using additional UIView:
What I did was to create a UIView and pin it with constant 0 to Safe Area Guides, so that it always matches size of Safe Area:
I created an @IBOutlet of that UIView and in viewDidLayoutSubviews() check the size:
override func viewDidLayoutSubviews() {
    super.viewDidLayoutSubviews()
    print(containerView.frame.size)
}
After rotation I also get the updated size of that UIView.