Magnetic field per se is not the problem; the induced voltage on the conductors is. However, 30A at 50-60Hz can be noisy and it is best to mount the CTs on a different board and shield them with a thin iron sheet.
The magnetic field produced by a simple current carrying conductor is in concentric circles centered around the conductor. All long traces that are sensitive to the induced voltage should be arranged parallel to the conductor.
The three conductors should be kept parallel and the connection to the CTs should be by twisted wires to the main board. As the return current is also carried by the same wires, the problem should not be severe.
However, I do not have personal experience about these devices.