Relocating a piano is not one of the major factors that affect tuning. The change in humidity between the original location, the moving truck, and the destination that causes tuning issues. Although bumpy roads aren’t ideal, the major factor is always humidity.
The pin block, bridge, and soundboard are made of wood, which is highly affected by humidity. However, after 15 days or so, the piano will acclimate to its new environment and be ready to sing in tune once again.