Rather than repotting to larger container, can the plant be split since it does seem to be "root bound" but still blooming nicely.
Cyclamen Plant Splitting
Certified GKH Gardening Expert
I would probably wait until its blooming has stopped before attempting to divide or repot. When dividing the crown or tuber (with a sharp knife), make sure that each section has some roots/shoots attached and then repot in individual containers. Don't forget to water them thoroughly after repotting.