Right now, gardening/landscaping questions of all kinds are handled in the General category.
There really is no good time to move older plants. The roots are deep and convoluted, and you usually damage the plants so thoroughly in moving them that they never bear well again. If you decide to do it anyway, the best time is early Spring in your area, just after the last frost date. You would move them into a carefully prepared bed, just as if you were starting over from scratch.