If anything, the new location should be better than the current one. Filtered sun is generally better than direct, bright sun, especially in the afternoon when temperatures are higher and humidity levels lower. Azalea colors, especially pastel ones, will look better with some shade and will also last longer. Azaleas are easy to move and require only that you prepare the new planting area well in advance and keep the roots shaded and moist until the planting is completed. Then just make sure to provide adequate moisture.

It is now known that top pruning to compensate for root loss during transplanting is a misguided practice and is no longer recommended. As a matter of fact, it is the roots that may benefit from pruning and not the top.

Good luck with the azaleas; looks like a good location!

It also is generally not recommended to amend the soil since the change in soil texture can interfere with water movement. You either tend to get a bath tub effect or the root ball remains dry, depending on what the original soil was like and how much moisture is available. If you are concerned about the original soil quality, dig a shallow hole, plant a bit higher than the original, backfill with original soil and then add supplements and mulch on top of the soil surface.

And as far as moving the azaleas, they tend to have relatively shallow roots, so dig wide but not deeper than needed, have a tarp available to put the root disk onto, and don’t leave roots exposed for any longer than needed. Having the planting site prepped ahead of time is perfect. Water to settle soil around roots and then mulch. Keep an eye on water and keep them moist without being soggy. Use your fingers a few inches down to check moisture.

Not pruning means the plant has more leaves to create food for new root growth. If it looks limp after transplant, rig a tarp or similar to give it full shade while it adjusts.