Q.When Would Be The Best Time To Move A Ugni Molinae Bush
The bush is fairly small and has been planted in its current position for the past few years. However I was originally told that this favoured shaded areas with a sunny position part of the day. I now find out it likes full sun, so would like to move it to a better position other than the north easterly one it is in at the moment. When it was potted it did flower and produced fruit, but since planting it in the ground there have been no flowers.

Certified GKH Gardening Expert
Any transplanting should be done in Spring or Autumn. Really, at any time that the weather is mild, and not hot or cold.
This agricultural extension service page will give you more information on their care: