When moving a nest box can wait
A more attractive position can wait if the current box is being used. Plan the move around the birds, not a garden deadline.

First ask why it needs moving
There is a difference between moving an empty box to improve its exposure and relocating one because a new chair would look better underneath it. Write down the actual problem: repeated rain entry, an unsuitable mounting, planned building work or several seasons without use. That helps distinguish an improvement from unnecessary rearrangement.
If the box is being used for nesting, do not move it. The birds' access to that particular site matters, and eggs or young cannot simply be transferred as part of a garden job. A serious immediate hazard needs specialist advice rather than an improvised relocation.
A quiet box may still be occupied
Watch over time before deciding the site is inactive. There can be periods with few obvious visits, and a winter box may be used only at night. Avoid opening it solely to make a planned move more convenient.
When work on the building or tree is involved, tell the contractor about the box well in advance. Scheduling around an occupied site is easier before equipment and workers arrive. If there is uncertainty about legal protection or species, seek advice from the relevant conservation authority or an ecologist.
Evaluate the destination from scratch
The new location needs suitable shade, shelter, access and mounting, not merely a more distant position. Check the summer sun, nearby climbing routes and the everyday traffic through the area. Confirm that the support will take the box and that later maintenance will be safe.
Photograph the old installation before taking down a definitely inactive box. Inspect its condition at ground level and deal with any maintenance in accordance with the appropriate guidance. Reuse fixings only if they are sound and suitable for the new surface.
Keep changes understandable
Record the date and the reason for moving. If the box had stayed empty, note how the new site differs. That record can help you judge the outcome next season without relying on a vague recollection that one corner looked better.
Do not keep moving it every few weeks if birds fail to appear. A stable site gives them time to encounter it. Once the box is back in place, return to watching from a distance and allow the next decision to belong to its potential occupants.