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Do you have both a female and a male? Male blossoms will fall off, no matter what. Female blossoms will fall off if there is no male to pollinate them.

These vines should be pruned on an annual basis. Not only does this help keep them manageable, but also improves their fruit production. Fruit comes from growth of new wood on year-old plants. The best time to prune is at the last part of winter while the plants are dormant. Decide where your main stems are going and the biggest ones from last year (at least a foot apart) and cut off the rest. Don't worry, these vines can take hard pruning.

Most reputable nurseries label their plants as male/female so you should be able to find them. If not, look closely at the flowers. In females, the center of the flower will usually have a thick white, marble-shaped mound, which develops into the kiwi fruit after pollination. Male do not have these mounds. Unfortunately, until they flower, you cannot tell the sex. Some varieties have slight differences between male leaves and female leaves, but not many.

The longer a plant is in a spot, the less likely it is to survive the move. If you move them, make sure you cut them back significantly. This article will also help:
https://www.gardeningknowhow.com/plant-problems/environmental/learn-how-to-avoid-and-repair-transplant-shock-in-plants.htm

If you are just moving them because they have not bloomed, you may want to give them another year. It can take kiwis up to 6 years to bloom.

If you are not getting any flowers, it may not be in enough light. In addition, it can take up to 6 years for kiwis to bloom, so they may not be mature enough yet. But just in case, I would provide them with a bit of phosphorus rich fertilizer to encourage blooming. Kiwis need a sunny location, sturdy support, and pruning to produce good crops. When planted, the vines should be pruned back to 4 or 5 buds.

This article will help you with any slug issues: https://www.gardeningknowhow.com/plant-problems/pests/facts-about-slugs-and-how-to-kill-garden-slugs.htm